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Finding the Fourth Proportional to 2,104.55, 3,156.24 and 624.10

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Solution

The fourth proportional to 2,104.55, 3,156.24 and 624.10 is: 935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.55 : 3,156.24 = 624.10 : x
  2. Step 2: Convert to fraction form
    2,104.55/3,156.24 = 624.10/x
  3. Step 3: Cross multiply
    2,104.55x = 3,156.24 × 624.10
  4. Step 4: Simplify right side
    2,104.55x = 1,969,809.38
  5. Step 5: Solve for x
    x = 1,969,809.38/2,104.55
  6. Step 6: Final answer
    x = 935.98

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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.