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Finding the Fourth Proportional to 2,701.40, 4,052.10 and 753.92

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Solution

The fourth proportional to 2,701.40, 4,052.10 and 753.92 is: 1,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.40 : 4,052.10 = 753.92 : x
  2. Step 2: Convert to fraction form
    2,701.40/4,052.10 = 753.92/x
  3. Step 3: Cross multiply
    2,701.40x = 4,052.10 × 753.92
  4. Step 4: Simplify right side
    2,701.40x = 3,054,959.23
  5. Step 5: Solve for x
    x = 3,054,959.23/2,701.40
  6. Step 6: Final answer
    x = 1,130.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.