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Finding the Fourth Proportional to 2,074.76, 2,862.88 and 1,143.28

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Solution

The fourth proportional to 2,074.76, 2,862.88 and 1,143.28 is: 1,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.76 : 2,862.88 = 1,143.28 : x
  2. Step 2: Convert to fraction form
    2,074.76/2,862.88 = 1,143.28/x
  3. Step 3: Cross multiply
    2,074.76x = 2,862.88 × 1,143.28
  4. Step 4: Simplify right side
    2,074.76x = 3,273,073.45
  5. Step 5: Solve for x
    x = 3,273,073.45/2,074.76
  6. Step 6: Final answer
    x = 1,577.57

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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.