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Finding the Fourth Proportional to 3,062.38, 4,593.74 and 870.94

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Solution

The fourth proportional to 3,062.38, 4,593.74 and 870.94 is: 1,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.38 : 4,593.74 = 870.94 : x
  2. Step 2: Convert to fraction form
    3,062.38/4,593.74 = 870.94/x
  3. Step 3: Cross multiply
    3,062.38x = 4,593.74 × 870.94
  4. Step 4: Simplify right side
    3,062.38x = 4,000,871.92
  5. Step 5: Solve for x
    x = 4,000,871.92/3,062.38
  6. Step 6: Final answer
    x = 1,306.46

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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.