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Finding the Fourth Proportional to 3,002.54, 4,503.51 and 922.55

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Solution

The fourth proportional to 3,002.54, 4,503.51 and 922.55 is: 1,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.54 : 4,503.51 = 922.55 : x
  2. Step 2: Convert to fraction form
    3,002.54/4,503.51 = 922.55/x
  3. Step 3: Cross multiply
    3,002.54x = 4,503.51 × 922.55
  4. Step 4: Simplify right side
    3,002.54x = 4,154,690.63
  5. Step 5: Solve for x
    x = 4,154,690.63/3,002.54
  6. Step 6: Final answer
    x = 1,383.73

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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.