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Finding the Fourth Proportional to 2,260.64, 3,119.69 and 1,474.69

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Solution

The fourth proportional to 2,260.64, 3,119.69 and 1,474.69 is: 2,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.64 : 3,119.69 = 1,474.69 : x
  2. Step 2: Convert to fraction form
    2,260.64/3,119.69 = 1,474.69/x
  3. Step 3: Cross multiply
    2,260.64x = 3,119.69 × 1,474.69
  4. Step 4: Simplify right side
    2,260.64x = 4,600,560.47
  5. Step 5: Solve for x
    x = 4,600,560.47/2,260.64
  6. Step 6: Final answer
    x = 2,035.07

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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.