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Finding the Fourth Proportional to 2,363.52, 3,545.40 and 902.79

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Solution

The fourth proportional to 2,363.52, 3,545.40 and 902.79 is: 1,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.52 : 3,545.40 = 902.79 : x
  2. Step 2: Convert to fraction form
    2,363.52/3,545.40 = 902.79/x
  3. Step 3: Cross multiply
    2,363.52x = 3,545.40 × 902.79
  4. Step 4: Simplify right side
    2,363.52x = 3,200,733.94
  5. Step 5: Solve for x
    x = 3,200,733.94/2,363.52
  6. Step 6: Final answer
    x = 1,354.22

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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.