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Finding the Fourth Proportional to 1,901.76, 2,625.66 and 1,702.24

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Solution

The fourth proportional to 1,901.76, 2,625.66 and 1,702.24 is: 2,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.76 : 2,625.66 = 1,702.24 : x
  2. Step 2: Convert to fraction form
    1,901.76/2,625.66 = 1,702.24/x
  3. Step 3: Cross multiply
    1,901.76x = 2,625.66 × 1,702.24
  4. Step 4: Simplify right side
    1,901.76x = 4,469,503.48
  5. Step 5: Solve for x
    x = 4,469,503.48/1,901.76
  6. Step 6: Final answer
    x = 2,350.20

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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.