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Finding the Fourth Proportional to 2,060.57, 2,840.86 and 1,780.22

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Solution

The fourth proportional to 2,060.57, 2,840.86 and 1,780.22 is: 2,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.57 : 2,840.86 = 1,780.22 : x
  2. Step 2: Convert to fraction form
    2,060.57/2,840.86 = 1,780.22/x
  3. Step 3: Cross multiply
    2,060.57x = 2,840.86 × 1,780.22
  4. Step 4: Simplify right side
    2,060.57x = 5,057,355.79
  5. Step 5: Solve for x
    x = 5,057,355.79/2,060.57
  6. Step 6: Final answer
    x = 2,454.35

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