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Finding the Fourth Proportional to 3,002.52, 4,504.80 and 922.56

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Solution

The fourth proportional to 3,002.52, 4,504.80 and 922.56 is: 1,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.52 : 4,504.80 = 922.56 : x
  2. Step 2: Convert to fraction form
    3,002.52/4,504.80 = 922.56/x
  3. Step 3: Cross multiply
    3,002.52x = 4,504.80 × 922.56
  4. Step 4: Simplify right side
    3,002.52x = 4,155,948.29
  5. Step 5: Solve for x
    x = 4,155,948.29/3,002.52
  6. Step 6: Final answer
    x = 1,384.15

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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.