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Finding the Fourth Proportional to 3,123.70, 4,686.16 and 932.38

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Solution

The fourth proportional to 3,123.70, 4,686.16 and 932.38 is: 1,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.70 : 4,686.16 = 932.38 : x
  2. Step 2: Convert to fraction form
    3,123.70/4,686.16 = 932.38/x
  3. Step 3: Cross multiply
    3,123.70x = 4,686.16 × 932.38
  4. Step 4: Simplify right side
    3,123.70x = 4,369,281.86
  5. Step 5: Solve for x
    x = 4,369,281.86/3,123.70
  6. Step 6: Final answer
    x = 1,398.75

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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.