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Finding the Fourth Proportional to 2,244.65, 3,097.59 and 1,313.15

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Solution

The fourth proportional to 2,244.65, 3,097.59 and 1,313.15 is: 1,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.65 : 3,097.59 = 1,313.15 : x
  2. Step 2: Convert to fraction form
    2,244.65/3,097.59 = 1,313.15/x
  3. Step 3: Cross multiply
    2,244.65x = 3,097.59 × 1,313.15
  4. Step 4: Simplify right side
    2,244.65x = 4,067,600.31
  5. Step 5: Solve for x
    x = 4,067,600.31/2,244.65
  6. Step 6: Final answer
    x = 1,812.13

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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.