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Finding the Fourth Proportional to 2,978.74, 4,468.11 and 898.75

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Solution

The fourth proportional to 2,978.74, 4,468.11 and 898.75 is: 1,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.74 : 4,468.11 = 898.75 : x
  2. Step 2: Convert to fraction form
    2,978.74/4,468.11 = 898.75/x
  3. Step 3: Cross multiply
    2,978.74x = 4,468.11 × 898.75
  4. Step 4: Simplify right side
    2,978.74x = 4,015,713.86
  5. Step 5: Solve for x
    x = 4,015,713.86/2,978.74
  6. Step 6: Final answer
    x = 1,348.13

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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.