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Finding the Fourth Proportional to 2,373.54, 3,560.01 and 731.22

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Solution

The fourth proportional to 2,373.54, 3,560.01 and 731.22 is: 1,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.54 : 3,560.01 = 731.22 : x
  2. Step 2: Convert to fraction form
    2,373.54/3,560.01 = 731.22/x
  3. Step 3: Cross multiply
    2,373.54x = 3,560.01 × 731.22
  4. Step 4: Simplify right side
    2,373.54x = 2,603,150.51
  5. Step 5: Solve for x
    x = 2,603,150.51/2,373.54
  6. Step 6: Final answer
    x = 1,096.74

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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.