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Finding the Fourth Proportional to 2,319.04, 3,476.22 and 857.17

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Solution

The fourth proportional to 2,319.04, 3,476.22 and 857.17 is: 1,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.04 : 3,476.22 = 857.17 : x
  2. Step 2: Convert to fraction form
    2,319.04/3,476.22 = 857.17/x
  3. Step 3: Cross multiply
    2,319.04x = 3,476.22 × 857.17
  4. Step 4: Simplify right side
    2,319.04x = 2,979,711.50
  5. Step 5: Solve for x
    x = 2,979,711.50/2,319.04
  6. Step 6: Final answer
    x = 1,284.89

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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.