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Finding the Fourth Proportional to 2,260.14, 3,119.32 and 1,376.22

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Solution

The fourth proportional to 2,260.14, 3,119.32 and 1,376.22 is: 1,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.14 : 3,119.32 = 1,376.22 : x
  2. Step 2: Convert to fraction form
    2,260.14/3,119.32 = 1,376.22/x
  3. Step 3: Cross multiply
    2,260.14x = 3,119.32 × 1,376.22
  4. Step 4: Simplify right side
    2,260.14x = 4,292,870.57
  5. Step 5: Solve for x
    x = 4,292,870.57/2,260.14
  6. Step 6: Final answer
    x = 1,899.38

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Why These Related Problems?

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