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Finding the Fourth Proportional to 2,373.63, 3,560.64 and 642.25

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Solution

The fourth proportional to 2,373.63, 3,560.64 and 642.25 is: 963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.63 : 3,560.64 = 642.25 : x
  2. Step 2: Convert to fraction form
    2,373.63/3,560.64 = 642.25/x
  3. Step 3: Cross multiply
    2,373.63x = 3,560.64 × 642.25
  4. Step 4: Simplify right side
    2,373.63x = 2,286,821.04
  5. Step 5: Solve for x
    x = 2,286,821.04/2,373.63
  6. Step 6: Final answer
    x = 963.43

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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.