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Finding the Fourth Proportional to 2,759.58, 4,140.72 and 1,298.52

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Solution

The fourth proportional to 2,759.58, 4,140.72 and 1,298.52 is: 1,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.58 : 4,140.72 = 1,298.52 : x
  2. Step 2: Convert to fraction form
    2,759.58/4,140.72 = 1,298.52/x
  3. Step 3: Cross multiply
    2,759.58x = 4,140.72 × 1,298.52
  4. Step 4: Simplify right side
    2,759.58x = 5,376,807.73
  5. Step 5: Solve for x
    x = 5,376,807.73/2,759.58
  6. Step 6: Final answer
    x = 1,948.42

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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.