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Finding the Fourth Proportional to 3,134.64, 4,702.56 and 1,403.28

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Solution

The fourth proportional to 3,134.64, 4,702.56 and 1,403.28 is: 2,105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.64 : 4,702.56 = 1,403.28 : x
  2. Step 2: Convert to fraction form
    3,134.64/4,702.56 = 1,403.28/x
  3. Step 3: Cross multiply
    3,134.64x = 4,702.56 × 1,403.28
  4. Step 4: Simplify right side
    3,134.64x = 6,599,008.40
  5. Step 5: Solve for x
    x = 6,599,008.40/3,134.64
  6. Step 6: Final answer
    x = 2,105.19

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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.