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Finding the Fourth Proportional to 2,758.97, 4,140.28 and 1,298.54

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Solution

The fourth proportional to 2,758.97, 4,140.28 and 1,298.54 is: 1,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.97 : 4,140.28 = 1,298.54 : x
  2. Step 2: Convert to fraction form
    2,758.97/4,140.28 = 1,298.54/x
  3. Step 3: Cross multiply
    2,758.97x = 4,140.28 × 1,298.54
  4. Step 4: Simplify right side
    2,758.97x = 5,376,331.17
  5. Step 5: Solve for x
    x = 5,376,331.17/2,758.97
  6. Step 6: Final answer
    x = 1,948.67

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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.