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Finding the Fourth Proportional to 3,407.41, 4,702.53 and 1,915.70

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Solution

The fourth proportional to 3,407.41, 4,702.53 and 1,915.70 is: 2,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.41 : 4,702.53 = 1,915.70 : x
  2. Step 2: Convert to fraction form
    3,407.41/4,702.53 = 1,915.70/x
  3. Step 3: Cross multiply
    3,407.41x = 4,702.53 × 1,915.70
  4. Step 4: Simplify right side
    3,407.41x = 9,008,613.21
  5. Step 5: Solve for x
    x = 9,008,613.21/3,407.41
  6. Step 6: Final answer
    x = 2,643.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.