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Finding the Fourth Proportional to 2,028.86, 2,799.55 and 1,132.50

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Solution

The fourth proportional to 2,028.86, 2,799.55 and 1,132.50 is: 1,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.86 : 2,799.55 = 1,132.50 : x
  2. Step 2: Convert to fraction form
    2,028.86/2,799.55 = 1,132.50/x
  3. Step 3: Cross multiply
    2,028.86x = 2,799.55 × 1,132.50
  4. Step 4: Simplify right side
    2,028.86x = 3,170,490.38
  5. Step 5: Solve for x
    x = 3,170,490.38/2,028.86
  6. Step 6: Final answer
    x = 1,562.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.