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Finding the Fourth Proportional to 2,074.64, 2,862.99 and 1,143.14

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Solution

The fourth proportional to 2,074.64, 2,862.99 and 1,143.14 is: 1,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.64 : 2,862.99 = 1,143.14 : x
  2. Step 2: Convert to fraction form
    2,074.64/2,862.99 = 1,143.14/x
  3. Step 3: Cross multiply
    2,074.64x = 2,862.99 × 1,143.14
  4. Step 4: Simplify right side
    2,074.64x = 3,272,798.39
  5. Step 5: Solve for x
    x = 3,272,798.39/2,074.64
  6. Step 6: Final answer
    x = 1,577.53

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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.