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Finding the Fourth Proportional to 2,078.59, 3,118.88 and 1,298.38

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Solution

The fourth proportional to 2,078.59, 3,118.88 and 1,298.38 is: 1,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.59 : 3,118.88 = 1,298.38 : x
  2. Step 2: Convert to fraction form
    2,078.59/3,118.88 = 1,298.38/x
  3. Step 3: Cross multiply
    2,078.59x = 3,118.88 × 1,298.38
  4. Step 4: Simplify right side
    2,078.59x = 4,049,491.41
  5. Step 5: Solve for x
    x = 4,049,491.41/2,078.59
  6. Step 6: Final answer
    x = 1,948.19

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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.