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Finding the Fourth Proportional to 2,068.54, 3,104.17 and 898.19

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Solution

The fourth proportional to 2,068.54, 3,104.17 and 898.19 is: 1,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.54 : 3,104.17 = 898.19 : x
  2. Step 2: Convert to fraction form
    2,068.54/3,104.17 = 898.19/x
  3. Step 3: Cross multiply
    2,068.54x = 3,104.17 × 898.19
  4. Step 4: Simplify right side
    2,068.54x = 2,788,133.38
  5. Step 5: Solve for x
    x = 2,788,133.38/2,068.54
  6. Step 6: Final answer
    x = 1,347.88

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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.