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Finding the Fourth Proportional to 3,407.76, 4,702.65 and 1,915.98

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Solution

The fourth proportional to 3,407.76, 4,702.65 and 1,915.98 is: 2,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.76 : 4,702.65 = 1,915.98 : x
  2. Step 2: Convert to fraction form
    3,407.76/4,702.65 = 1,915.98/x
  3. Step 3: Cross multiply
    3,407.76x = 4,702.65 × 1,915.98
  4. Step 4: Simplify right side
    3,407.76x = 9,010,150.25
  5. Step 5: Solve for x
    x = 9,010,150.25/3,407.76
  6. Step 6: Final answer
    x = 2,644.01

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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.