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Finding the Fourth Proportional to 3,002.00, 4,502.66 and 922.10

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Solution

The fourth proportional to 3,002.00, 4,502.66 and 922.10 is: 1,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.00 : 4,502.66 = 922.10 : x
  2. Step 2: Convert to fraction form
    3,002.00/4,502.66 = 922.10/x
  3. Step 3: Cross multiply
    3,002.00x = 4,502.66 × 922.10
  4. Step 4: Simplify right side
    3,002.00x = 4,151,875.66
  5. Step 5: Solve for x
    x = 4,151,875.66/3,002.00
  6. Step 6: Final answer
    x = 1,383.04

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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.