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Finding the Fourth Proportional to 3,002.60, 4,504.55 and 922.75

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Solution

The fourth proportional to 3,002.60, 4,504.55 and 922.75 is: 1,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.60 : 4,504.55 = 922.75 : x
  2. Step 2: Convert to fraction form
    3,002.60/4,504.55 = 922.75/x
  3. Step 3: Cross multiply
    3,002.60x = 4,504.55 × 922.75
  4. Step 4: Simplify right side
    3,002.60x = 4,156,575.82
  5. Step 5: Solve for x
    x = 4,156,575.82/3,002.60
  6. Step 6: Final answer
    x = 1,384.33

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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.