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Finding the Fourth Proportional to 3,298.78, 4,948.89 and 958.81

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Solution

The fourth proportional to 3,298.78, 4,948.89 and 958.81 is: 1,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.78 : 4,948.89 = 958.81 : x
  2. Step 2: Convert to fraction form
    3,298.78/4,948.89 = 958.81/x
  3. Step 3: Cross multiply
    3,298.78x = 4,948.89 × 958.81
  4. Step 4: Simplify right side
    3,298.78x = 4,745,045.22
  5. Step 5: Solve for x
    x = 4,745,045.22/3,298.78
  6. Step 6: Final answer
    x = 1,438.42

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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.