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Finding the Fourth Proportional to 2,275.11, 3,412.98 and 715.23

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Solution

The fourth proportional to 2,275.11, 3,412.98 and 715.23 is: 1,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.11 : 3,412.98 = 715.23 : x
  2. Step 2: Convert to fraction form
    2,275.11/3,412.98 = 715.23/x
  3. Step 3: Cross multiply
    2,275.11x = 3,412.98 × 715.23
  4. Step 4: Simplify right side
    2,275.11x = 2,441,065.69
  5. Step 5: Solve for x
    x = 2,441,065.69/2,275.11
  6. Step 6: Final answer
    x = 1,072.94

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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.