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Finding the Fourth Proportional to 2,458.54, 3,689.40 and 1,160.08

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Solution

The fourth proportional to 2,458.54, 3,689.40 and 1,160.08 is: 1,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.54 : 3,689.40 = 1,160.08 : x
  2. Step 2: Convert to fraction form
    2,458.54/3,689.40 = 1,160.08/x
  3. Step 3: Cross multiply
    2,458.54x = 3,689.40 × 1,160.08
  4. Step 4: Simplify right side
    2,458.54x = 4,279,999.15
  5. Step 5: Solve for x
    x = 4,279,999.15/2,458.54
  6. Step 6: Final answer
    x = 1,740.87

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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.