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Finding the Fourth Proportional to 2,373.72, 3,560.59 and 642.35

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Solution

The fourth proportional to 2,373.72, 3,560.59 and 642.35 is: 963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.72 : 3,560.59 = 642.35 : x
  2. Step 2: Convert to fraction form
    2,373.72/3,560.59 = 642.35/x
  3. Step 3: Cross multiply
    2,373.72x = 3,560.59 × 642.35
  4. Step 4: Simplify right side
    2,373.72x = 2,287,127.18
  5. Step 5: Solve for x
    x = 2,287,127.18/2,373.72
  6. Step 6: Final answer
    x = 963.52

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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.