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Finding the Fourth Proportional to 2,024.15, 2,693.85 and 2,024.15

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Solution

The fourth proportional to 2,024.15, 2,693.85 and 2,024.15 is: 2,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.15 : 2,693.85 = 2,024.15 : x
  2. Step 2: Convert to fraction form
    2,024.15/2,693.85 = 2,024.15/x
  3. Step 3: Cross multiply
    2,024.15x = 2,693.85 × 2,024.15
  4. Step 4: Simplify right side
    2,024.15x = 5,452,756.48
  5. Step 5: Solve for x
    x = 5,452,756.48/2,024.15
  6. Step 6: Final answer
    x = 2,693.85

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.