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Finding the Fourth Proportional to 4,122.59, 6,182.80 and 1,929.11

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Solution

The fourth proportional to 4,122.59, 6,182.80 and 1,929.11 is: 2,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.59 : 6,182.80 = 1,929.11 : x
  2. Step 2: Convert to fraction form
    4,122.59/6,182.80 = 1,929.11/x
  3. Step 3: Cross multiply
    4,122.59x = 6,182.80 × 1,929.11
  4. Step 4: Simplify right side
    4,122.59x = 11,927,265.57
  5. Step 5: Solve for x
    x = 11,927,265.57/4,122.59
  6. Step 6: Final answer
    x = 2,893.15

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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.