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Finding the Fourth Proportional to 1,734.66, 2,393.78 and 948.65

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Solution

The fourth proportional to 1,734.66, 2,393.78 and 948.65 is: 1,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.66 : 2,393.78 = 948.65 : x
  2. Step 2: Convert to fraction form
    1,734.66/2,393.78 = 948.65/x
  3. Step 3: Cross multiply
    1,734.66x = 2,393.78 × 948.65
  4. Step 4: Simplify right side
    1,734.66x = 2,270,842.68
  5. Step 5: Solve for x
    x = 2,270,842.68/1,734.66
  6. Step 6: Final answer
    x = 1,309.10

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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.