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Finding the Fourth Proportional to 2,374.08, 3,561.12 and 642.84

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Solution

The fourth proportional to 2,374.08, 3,561.12 and 642.84 is: 964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.08 : 3,561.12 = 642.84 : x
  2. Step 2: Convert to fraction form
    2,374.08/3,561.12 = 642.84/x
  3. Step 3: Cross multiply
    2,374.08x = 3,561.12 × 642.84
  4. Step 4: Simplify right side
    2,374.08x = 2,289,230.38
  5. Step 5: Solve for x
    x = 2,289,230.38/2,374.08
  6. Step 6: Final answer
    x = 964.26

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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.