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Finding the Fourth Proportional to 2,739.89, 3,780.68 and 1,560.74

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Solution

The fourth proportional to 2,739.89, 3,780.68 and 1,560.74 is: 2,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.89 : 3,780.68 = 1,560.74 : x
  2. Step 2: Convert to fraction form
    2,739.89/3,780.68 = 1,560.74/x
  3. Step 3: Cross multiply
    2,739.89x = 3,780.68 × 1,560.74
  4. Step 4: Simplify right side
    2,739.89x = 5,900,631.80
  5. Step 5: Solve for x
    x = 5,900,631.80/2,739.89
  6. Step 6: Final answer
    x = 2,153.60

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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.