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Finding the Fourth Proportional to 2,492.87, 3,739.40 and 932.71

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Solution

The fourth proportional to 2,492.87, 3,739.40 and 932.71 is: 1,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.87 : 3,739.40 = 932.71 : x
  2. Step 2: Convert to fraction form
    2,492.87/3,739.40 = 932.71/x
  3. Step 3: Cross multiply
    2,492.87x = 3,739.40 × 932.71
  4. Step 4: Simplify right side
    2,492.87x = 3,487,768.76
  5. Step 5: Solve for x
    x = 3,487,768.76/2,492.87
  6. Step 6: Final answer
    x = 1,399.10

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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.