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Finding the Fourth Proportional to 2,702.11, 3,728.84 and 1,507.13

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Solution

The fourth proportional to 2,702.11, 3,728.84 and 1,507.13 is: 2,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.11 : 3,728.84 = 1,507.13 : x
  2. Step 2: Convert to fraction form
    2,702.11/3,728.84 = 1,507.13/x
  3. Step 3: Cross multiply
    2,702.11x = 3,728.84 × 1,507.13
  4. Step 4: Simplify right side
    2,702.11x = 5,619,854.07
  5. Step 5: Solve for x
    x = 5,619,854.07/2,702.11
  6. Step 6: Final answer
    x = 2,079.80

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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.