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Finding the Fourth Proportional to 2,373.70, 3,560.41 and 642.19

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Solution

The fourth proportional to 2,373.70, 3,560.41 and 642.19 is: 963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.70 : 3,560.41 = 642.19 : x
  2. Step 2: Convert to fraction form
    2,373.70/3,560.41 = 642.19/x
  3. Step 3: Cross multiply
    2,373.70x = 3,560.41 × 642.19
  4. Step 4: Simplify right side
    2,373.70x = 2,286,451.60
  5. Step 5: Solve for x
    x = 2,286,451.60/2,373.70
  6. Step 6: Final answer
    x = 963.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.