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Finding the Fourth Proportional to 2,853.47, 4,277.28 and 1,929.11

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Solution

The fourth proportional to 2,853.47, 4,277.28 and 1,929.11 is: 2,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.47 : 4,277.28 = 1,929.11 : x
  2. Step 2: Convert to fraction form
    2,853.47/4,277.28 = 1,929.11/x
  3. Step 3: Cross multiply
    2,853.47x = 4,277.28 × 1,929.11
  4. Step 4: Simplify right side
    2,853.47x = 8,251,343.62
  5. Step 5: Solve for x
    x = 8,251,343.62/2,853.47
  6. Step 6: Final answer
    x = 2,891.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.