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Finding the Fourth Proportional to 2,545.62, 3,818.57 and 902.34

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Solution

The fourth proportional to 2,545.62, 3,818.57 and 902.34 is: 1,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.62 : 3,818.57 = 902.34 : x
  2. Step 2: Convert to fraction form
    2,545.62/3,818.57 = 902.34/x
  3. Step 3: Cross multiply
    2,545.62x = 3,818.57 × 902.34
  4. Step 4: Simplify right side
    2,545.62x = 3,445,643.94
  5. Step 5: Solve for x
    x = 3,445,643.94/2,545.62
  6. Step 6: Final answer
    x = 1,353.56

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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.