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Finding the Fourth Proportional to 2,454.30, 3,679.12 and 1,066.26

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Solution

The fourth proportional to 2,454.30, 3,679.12 and 1,066.26 is: 1,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.30 : 3,679.12 = 1,066.26 : x
  2. Step 2: Convert to fraction form
    2,454.30/3,679.12 = 1,066.26/x
  3. Step 3: Cross multiply
    2,454.30x = 3,679.12 × 1,066.26
  4. Step 4: Simplify right side
    2,454.30x = 3,922,913.62
  5. Step 5: Solve for x
    x = 3,922,913.62/2,454.30
  6. Step 6: Final answer
    x = 1,598.38

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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.