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Finding the Fourth Proportional to 2,874.12, 3,965.29 and 1,615.01

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Solution

The fourth proportional to 2,874.12, 3,965.29 and 1,615.01 is: 2,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.12 : 3,965.29 = 1,615.01 : x
  2. Step 2: Convert to fraction form
    2,874.12/3,965.29 = 1,615.01/x
  3. Step 3: Cross multiply
    2,874.12x = 3,965.29 × 1,615.01
  4. Step 4: Simplify right side
    2,874.12x = 6,403,959.14
  5. Step 5: Solve for x
    x = 6,403,959.14/2,874.12
  6. Step 6: Final answer
    x = 2,228.15

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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.