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Finding the Fourth Proportional to 2,978.75, 4,468.13 and 926.75

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Solution

The fourth proportional to 2,978.75, 4,468.13 and 926.75 is: 1,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.75 : 4,468.13 = 926.75 : x
  2. Step 2: Convert to fraction form
    2,978.75/4,468.13 = 926.75/x
  3. Step 3: Cross multiply
    2,978.75x = 4,468.13 × 926.75
  4. Step 4: Simplify right side
    2,978.75x = 4,140,839.48
  5. Step 5: Solve for x
    x = 4,140,839.48/2,978.75
  6. Step 6: Final answer
    x = 1,390.13

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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.