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Finding the Fourth Proportional to 2,545.27, 3,817.98 and 902.95

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Solution

The fourth proportional to 2,545.27, 3,817.98 and 902.95 is: 1,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.27 : 3,817.98 = 902.95 : x
  2. Step 2: Convert to fraction form
    2,545.27/3,817.98 = 902.95/x
  3. Step 3: Cross multiply
    2,545.27x = 3,817.98 × 902.95
  4. Step 4: Simplify right side
    2,545.27x = 3,447,445.04
  5. Step 5: Solve for x
    x = 3,447,445.04/2,545.27
  6. Step 6: Final answer
    x = 1,354.45

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1.5x scale

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.