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Finding the Fourth Proportional to 2,701.53, 4,051.80 and 753.71

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Solution

The fourth proportional to 2,701.53, 4,051.80 and 753.71 is: 1,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.53 : 4,051.80 = 753.71 : x
  2. Step 2: Convert to fraction form
    2,701.53/4,051.80 = 753.71/x
  3. Step 3: Cross multiply
    2,701.53x = 4,051.80 × 753.71
  4. Step 4: Simplify right side
    2,701.53x = 3,053,861.92
  5. Step 5: Solve for x
    x = 3,053,861.92/2,701.53
  6. Step 6: Final answer
    x = 1,130.42

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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.