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Finding the Fourth Proportional to 2,182.73, 3,012.41 and 1,298.52

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Solution

The fourth proportional to 2,182.73, 3,012.41 and 1,298.52 is: 1,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.73 : 3,012.41 = 1,298.52 : x
  2. Step 2: Convert to fraction form
    2,182.73/3,012.41 = 1,298.52/x
  3. Step 3: Cross multiply
    2,182.73x = 3,012.41 × 1,298.52
  4. Step 4: Simplify right side
    2,182.73x = 3,911,677.88
  5. Step 5: Solve for x
    x = 3,911,677.88/2,182.73
  6. Step 6: Final answer
    x = 1,792.11

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