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Finding the Fourth Proportional to 2,877.76, 4,315.58 and 1,028.37

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Solution

The fourth proportional to 2,877.76, 4,315.58 and 1,028.37 is: 1,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.76 : 4,315.58 = 1,028.37 : x
  2. Step 2: Convert to fraction form
    2,877.76/4,315.58 = 1,028.37/x
  3. Step 3: Cross multiply
    2,877.76x = 4,315.58 × 1,028.37
  4. Step 4: Simplify right side
    2,877.76x = 4,438,007.86
  5. Step 5: Solve for x
    x = 4,438,007.86/2,877.76
  6. Step 6: Final answer
    x = 1,542.18

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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.