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Finding the Fourth Proportional to 1,597.92, 2,396.67 and 624.71

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Solution

The fourth proportional to 1,597.92, 2,396.67 and 624.71 is: 936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.92 : 2,396.67 = 624.71 : x
  2. Step 2: Convert to fraction form
    1,597.92/2,396.67 = 624.71/x
  3. Step 3: Cross multiply
    1,597.92x = 2,396.67 × 624.71
  4. Step 4: Simplify right side
    1,597.92x = 1,497,223.72
  5. Step 5: Solve for x
    x = 1,497,223.72/1,597.92
  6. Step 6: Final answer
    x = 936.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.