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Finding the Fourth Proportional to 2,277.95, 3,415.17 and 1,044.47

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Solution

The fourth proportional to 2,277.95, 3,415.17 and 1,044.47 is: 1,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.95 : 3,415.17 = 1,044.47 : x
  2. Step 2: Convert to fraction form
    2,277.95/3,415.17 = 1,044.47/x
  3. Step 3: Cross multiply
    2,277.95x = 3,415.17 × 1,044.47
  4. Step 4: Simplify right side
    2,277.95x = 3,567,042.61
  5. Step 5: Solve for x
    x = 3,567,042.61/2,277.95
  6. Step 6: Final answer
    x = 1,565.90

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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.