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Finding the Fourth Proportional to 3,134.40, 4,702.08 and 1,836.48

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Solution

The fourth proportional to 3,134.40, 4,702.08 and 1,836.48 is: 2,755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.40 : 4,702.08 = 1,836.48 : x
  2. Step 2: Convert to fraction form
    3,134.40/4,702.08 = 1,836.48/x
  3. Step 3: Cross multiply
    3,134.40x = 4,702.08 × 1,836.48
  4. Step 4: Simplify right side
    3,134.40x = 8,635,275.88
  5. Step 5: Solve for x
    x = 8,635,275.88/3,134.40
  6. Step 6: Final answer
    x = 2,755.00

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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.