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Finding the Fourth Proportional to 2,473.56, 3,710.07 and 624.68

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Solution

The fourth proportional to 2,473.56, 3,710.07 and 624.68 is: 936.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.56 : 3,710.07 = 624.68 : x
  2. Step 2: Convert to fraction form
    2,473.56/3,710.07 = 624.68/x
  3. Step 3: Cross multiply
    2,473.56x = 3,710.07 × 624.68
  4. Step 4: Simplify right side
    2,473.56x = 2,317,587.98
  5. Step 5: Solve for x
    x = 2,317,587.98/2,473.56
  6. Step 6: Final answer
    x = 936.94

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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.