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Finding the Fourth Proportional to 2,454.19, 3,679.20 and 1,066.47

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Solution

The fourth proportional to 2,454.19, 3,679.20 and 1,066.47 is: 1,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.19 : 3,679.20 = 1,066.47 : x
  2. Step 2: Convert to fraction form
    2,454.19/3,679.20 = 1,066.47/x
  3. Step 3: Cross multiply
    2,454.19x = 3,679.20 × 1,066.47
  4. Step 4: Simplify right side
    2,454.19x = 3,923,756.42
  5. Step 5: Solve for x
    x = 3,923,756.42/2,454.19
  6. Step 6: Final answer
    x = 1,598.80

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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.