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Finding the Fourth Proportional to 1,863,072.82, 2,795,301.22 and 1,294,154.16

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Solution

The fourth proportional to 1,863,072.82, 2,795,301.22 and 1,294,154.16 is: 1,941,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,072.82 : 2,795,301.22 = 1,294,154.16 : x
  2. Step 2: Convert to fraction form
    1,863,072.82/2,795,301.22 = 1,294,154.16/x
  3. Step 3: Cross multiply
    1,863,072.82x = 2,795,301.22 × 1,294,154.16
  4. Step 4: Simplify right side
    1,863,072.82x = 3,617,550,703,108.61
  5. Step 5: Solve for x
    x = 3,617,550,703,108.61/1,863,072.82
  6. Step 6: Final answer
    x = 1,941,711.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.