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Finding the Fourth Proportional to 4,702.60, 7,056.69 and 1,781.20

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Solution

The fourth proportional to 4,702.60, 7,056.69 and 1,781.20 is: 2,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.60 : 7,056.69 = 1,781.20 : x
  2. Step 2: Convert to fraction form
    4,702.60/7,056.69 = 1,781.20/x
  3. Step 3: Cross multiply
    4,702.60x = 7,056.69 × 1,781.20
  4. Step 4: Simplify right side
    4,702.60x = 12,569,376.23
  5. Step 5: Solve for x
    x = 12,569,376.23/4,702.60
  6. Step 6: Final answer
    x = 2,672.86

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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.