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Finding the Fourth Proportional to 2,702.30, 3,729.09 and 1,507.32

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Solution

The fourth proportional to 2,702.30, 3,729.09 and 1,507.32 is: 2,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.30 : 3,729.09 = 1,507.32 : x
  2. Step 2: Convert to fraction form
    2,702.30/3,729.09 = 1,507.32/x
  3. Step 3: Cross multiply
    2,702.30x = 3,729.09 × 1,507.32
  4. Step 4: Simplify right side
    2,702.30x = 5,620,928.27
  5. Step 5: Solve for x
    x = 5,620,928.27/2,702.30
  6. Step 6: Final answer
    x = 2,080.06

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Why These Related Problems?

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