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Finding the Fourth Proportional to 1,449.46, 2,000.56 and 925.40

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Solution

The fourth proportional to 1,449.46, 2,000.56 and 925.40 is: 1,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.46 : 2,000.56 = 925.40 : x
  2. Step 2: Convert to fraction form
    1,449.46/2,000.56 = 925.40/x
  3. Step 3: Cross multiply
    1,449.46x = 2,000.56 × 925.40
  4. Step 4: Simplify right side
    1,449.46x = 1,851,318.22
  5. Step 5: Solve for x
    x = 1,851,318.22/1,449.46
  6. Step 6: Final answer
    x = 1,277.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.