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Finding the Fourth Proportional to 2,454.88, 3,666.68 and 2,442.08

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Solution

The fourth proportional to 2,454.88, 3,666.68 and 2,442.08 is: 3,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.88 : 3,666.68 = 2,442.08 : x
  2. Step 2: Convert to fraction form
    2,454.88/3,666.68 = 2,442.08/x
  3. Step 3: Cross multiply
    2,454.88x = 3,666.68 × 2,442.08
  4. Step 4: Simplify right side
    2,454.88x = 8,954,325.89
  5. Step 5: Solve for x
    x = 8,954,325.89/2,454.88
  6. Step 6: Final answer
    x = 3,647.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.