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Finding the Fourth Proportional to 2,304.88, 3,180.74 and 1,421.17

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Solution

The fourth proportional to 2,304.88, 3,180.74 and 1,421.17 is: 1,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.88 : 3,180.74 = 1,421.17 : x
  2. Step 2: Convert to fraction form
    2,304.88/3,180.74 = 1,421.17/x
  3. Step 3: Cross multiply
    2,304.88x = 3,180.74 × 1,421.17
  4. Step 4: Simplify right side
    2,304.88x = 4,520,357.21
  5. Step 5: Solve for x
    x = 4,520,357.21/2,304.88
  6. Step 6: Final answer
    x = 1,961.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.