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Finding the Fourth Proportional to 2,874.02, 3,966.36 and 1,615.18

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Solution

The fourth proportional to 2,874.02, 3,966.36 and 1,615.18 is: 2,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.02 : 3,966.36 = 1,615.18 : x
  2. Step 2: Convert to fraction form
    2,874.02/3,966.36 = 1,615.18/x
  3. Step 3: Cross multiply
    2,874.02x = 3,966.36 × 1,615.18
  4. Step 4: Simplify right side
    2,874.02x = 6,406,376.81
  5. Step 5: Solve for x
    x = 6,406,376.81/2,874.02
  6. Step 6: Final answer
    x = 2,229.07

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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.