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Finding the Fourth Proportional to 2,374.13, 3,561.26 and 642.75

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Solution

The fourth proportional to 2,374.13, 3,561.26 and 642.75 is: 964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.13 : 3,561.26 = 642.75 : x
  2. Step 2: Convert to fraction form
    2,374.13/3,561.26 = 642.75/x
  3. Step 3: Cross multiply
    2,374.13x = 3,561.26 × 642.75
  4. Step 4: Simplify right side
    2,374.13x = 2,288,999.87
  5. Step 5: Solve for x
    x = 2,288,999.87/2,374.13
  6. Step 6: Final answer
    x = 964.14

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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.