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Finding the Fourth Proportional to 2,473.91, 3,710.87 and 625.04

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Solution

The fourth proportional to 2,473.91, 3,710.87 and 625.04 is: 937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.91 : 3,710.87 = 625.04 : x
  2. Step 2: Convert to fraction form
    2,473.91/3,710.87 = 625.04/x
  3. Step 3: Cross multiply
    2,473.91x = 3,710.87 × 625.04
  4. Step 4: Simplify right side
    2,473.91x = 2,319,420.51
  5. Step 5: Solve for x
    x = 2,319,420.51/2,473.91
  6. Step 6: Final answer
    x = 937.55

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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.