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Finding the Fourth Proportional to 2,557.80, 3,526.56 and 2,138.76

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Solution

The fourth proportional to 2,557.80, 3,526.56 and 2,138.76 is: 2,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.80 : 3,526.56 = 2,138.76 : x
  2. Step 2: Convert to fraction form
    2,557.80/3,526.56 = 2,138.76/x
  3. Step 3: Cross multiply
    2,557.80x = 3,526.56 × 2,138.76
  4. Step 4: Simplify right side
    2,557.80x = 7,542,465.47
  5. Step 5: Solve for x
    x = 7,542,465.47/2,557.80
  6. Step 6: Final answer
    x = 2,948.81

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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.