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Finding the Fourth Proportional to 2,374.91, 3,561.94 and 731.01

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Solution

The fourth proportional to 2,374.91, 3,561.94 and 731.01 is: 1,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.91 : 3,561.94 = 731.01 : x
  2. Step 2: Convert to fraction form
    2,374.91/3,561.94 = 731.01/x
  3. Step 3: Cross multiply
    2,374.91x = 3,561.94 × 731.01
  4. Step 4: Simplify right side
    2,374.91x = 2,603,813.76
  5. Step 5: Solve for x
    x = 2,603,813.76/2,374.91
  6. Step 6: Final answer
    x = 1,096.38

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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.