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Finding the Fourth Proportional to 2,884.80, 4,330.12 and 2,557.76

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Solution

The fourth proportional to 2,884.80, 4,330.12 and 2,557.76 is: 3,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.80 : 4,330.12 = 2,557.76 : x
  2. Step 2: Convert to fraction form
    2,884.80/4,330.12 = 2,557.76/x
  3. Step 3: Cross multiply
    2,884.80x = 4,330.12 × 2,557.76
  4. Step 4: Simplify right side
    2,884.80x = 11,075,407.73
  5. Step 5: Solve for x
    x = 11,075,407.73/2,884.80
  6. Step 6: Final answer
    x = 3,839.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.