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Finding the Fourth Proportional to 2,707.26, 3,734.70 and 1,587.50

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Solution

The fourth proportional to 2,707.26, 3,734.70 and 1,587.50 is: 2,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.26 : 3,734.70 = 1,587.50 : x
  2. Step 2: Convert to fraction form
    2,707.26/3,734.70 = 1,587.50/x
  3. Step 3: Cross multiply
    2,707.26x = 3,734.70 × 1,587.50
  4. Step 4: Simplify right side
    2,707.26x = 5,928,836.25
  5. Step 5: Solve for x
    x = 5,928,836.25/2,707.26
  6. Step 6: Final answer
    x = 2,189.98

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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.