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Finding the Fourth Proportional to 2,707.52, 3,735.12 and 1,588

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Solution

The fourth proportional to 2,707.52, 3,735.12 and 1,588 is: 2,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.52 : 3,735.12 = 1,588 : x
  2. Step 2: Convert to fraction form
    2,707.52/3,735.12 = 1,588/x
  3. Step 3: Cross multiply
    2,707.52x = 3,735.12 × 1,588
  4. Step 4: Simplify right side
    2,707.52x = 5,931,370.56
  5. Step 5: Solve for x
    x = 5,931,370.56/2,707.52
  6. Step 6: Final answer
    x = 2,190.70

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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.