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Finding the Fourth Proportional to 2,040.55, 3,061.23 and 653.78

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Solution

The fourth proportional to 2,040.55, 3,061.23 and 653.78 is: 980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.55 : 3,061.23 = 653.78 : x
  2. Step 2: Convert to fraction form
    2,040.55/3,061.23 = 653.78/x
  3. Step 3: Cross multiply
    2,040.55x = 3,061.23 × 653.78
  4. Step 4: Simplify right side
    2,040.55x = 2,001,383.21
  5. Step 5: Solve for x
    x = 2,001,383.21/2,040.55
  6. Step 6: Final answer
    x = 980.80

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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.