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Finding the Fourth Proportional to 3,032.38, 4,548.12 and 840.88

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Solution

The fourth proportional to 3,032.38, 4,548.12 and 840.88 is: 1,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.38 : 4,548.12 = 840.88 : x
  2. Step 2: Convert to fraction form
    3,032.38/4,548.12 = 840.88/x
  3. Step 3: Cross multiply
    3,032.38x = 4,548.12 × 840.88
  4. Step 4: Simplify right side
    3,032.38x = 3,824,423.15
  5. Step 5: Solve for x
    x = 3,824,423.15/3,032.38
  6. Step 6: Final answer
    x = 1,261.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.