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Finding the Fourth Proportional to 2,024.40, 2,805.42 and 1,985.52

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Solution

The fourth proportional to 2,024.40, 2,805.42 and 1,985.52 is: 2,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.40 : 2,805.42 = 1,985.52 : x
  2. Step 2: Convert to fraction form
    2,024.40/2,805.42 = 1,985.52/x
  3. Step 3: Cross multiply
    2,024.40x = 2,805.42 × 1,985.52
  4. Step 4: Simplify right side
    2,024.40x = 5,570,217.52
  5. Step 5: Solve for x
    x = 5,570,217.52/2,024.40
  6. Step 6: Final answer
    x = 2,751.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.