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Finding the Fourth Proportional to 2,702.05, 3,728.81 and 1,507.04

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Solution

The fourth proportional to 2,702.05, 3,728.81 and 1,507.04 is: 2,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.05 : 3,728.81 = 1,507.04 : x
  2. Step 2: Convert to fraction form
    2,702.05/3,728.81 = 1,507.04/x
  3. Step 3: Cross multiply
    2,702.05x = 3,728.81 × 1,507.04
  4. Step 4: Simplify right side
    2,702.05x = 5,619,465.82
  5. Step 5: Solve for x
    x = 5,619,465.82/2,702.05
  6. Step 6: Final answer
    x = 2,079.70

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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.