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Finding the Fourth Proportional to 2,307.88, 3,461.48 and 748.02

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Solution

The fourth proportional to 2,307.88, 3,461.48 and 748.02 is: 1,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.88 : 3,461.48 = 748.02 : x
  2. Step 2: Convert to fraction form
    2,307.88/3,461.48 = 748.02/x
  3. Step 3: Cross multiply
    2,307.88x = 3,461.48 × 748.02
  4. Step 4: Simplify right side
    2,307.88x = 2,589,253.93
  5. Step 5: Solve for x
    x = 2,589,253.93/2,307.88
  6. Step 6: Final answer
    x = 1,121.92

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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.