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Finding the Fourth Proportional to 2,560.70, 3,839.84 and 1,464.76

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Solution

The fourth proportional to 2,560.70, 3,839.84 and 1,464.76 is: 2,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.70 : 3,839.84 = 1,464.76 : x
  2. Step 2: Convert to fraction form
    2,560.70/3,839.84 = 1,464.76/x
  3. Step 3: Cross multiply
    2,560.70x = 3,839.84 × 1,464.76
  4. Step 4: Simplify right side
    2,560.70x = 5,624,444.04
  5. Step 5: Solve for x
    x = 5,624,444.04/2,560.70
  6. Step 6: Final answer
    x = 2,196.45

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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.