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Finding the Fourth Proportional to 2,899.76, 4,002.68 and 1,721.84

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Solution

The fourth proportional to 2,899.76, 4,002.68 and 1,721.84 is: 2,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.76 : 4,002.68 = 1,721.84 : x
  2. Step 2: Convert to fraction form
    2,899.76/4,002.68 = 1,721.84/x
  3. Step 3: Cross multiply
    2,899.76x = 4,002.68 × 1,721.84
  4. Step 4: Simplify right side
    2,899.76x = 6,891,974.53
  5. Step 5: Solve for x
    x = 6,891,974.53/2,899.76
  6. Step 6: Final answer
    x = 2,376.74

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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.