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Finding the Fourth Proportional to 2,710.72, 3,741 and 1,531.84

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Solution

The fourth proportional to 2,710.72, 3,741 and 1,531.84 is: 2,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.72 : 3,741 = 1,531.84 : x
  2. Step 2: Convert to fraction form
    2,710.72/3,741 = 1,531.84/x
  3. Step 3: Cross multiply
    2,710.72x = 3,741 × 1,531.84
  4. Step 4: Simplify right side
    2,710.72x = 5,730,613.44
  5. Step 5: Solve for x
    x = 5,730,613.44/2,710.72
  6. Step 6: Final answer
    x = 2,114.06

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1.5x scale

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.