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Finding the Fourth Proportional to 2,701.59, 4,052.36 and 753.79

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Solution

The fourth proportional to 2,701.59, 4,052.36 and 753.79 is: 1,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.59 : 4,052.36 = 753.79 : x
  2. Step 2: Convert to fraction form
    2,701.59/4,052.36 = 753.79/x
  3. Step 3: Cross multiply
    2,701.59x = 4,052.36 × 753.79
  4. Step 4: Simplify right side
    2,701.59x = 3,054,628.44
  5. Step 5: Solve for x
    x = 3,054,628.44/2,701.59
  6. Step 6: Final answer
    x = 1,130.68

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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.