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Finding the Fourth Proportional to 2,472.39, 3,708.45 and 623.51

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Solution

The fourth proportional to 2,472.39, 3,708.45 and 623.51 is: 935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.39 : 3,708.45 = 623.51 : x
  2. Step 2: Convert to fraction form
    2,472.39/3,708.45 = 623.51/x
  3. Step 3: Cross multiply
    2,472.39x = 3,708.45 × 623.51
  4. Step 4: Simplify right side
    2,472.39x = 2,312,237.12
  5. Step 5: Solve for x
    x = 2,312,237.12/2,472.39
  6. Step 6: Final answer
    x = 935.22

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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.