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Finding the Fourth Proportional to 1,734, 2,394.48 and 1,114.08

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Solution

The fourth proportional to 1,734, 2,394.48 and 1,114.08 is: 1,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734 : 2,394.48 = 1,114.08 : x
  2. Step 2: Convert to fraction form
    1,734/2,394.48 = 1,114.08/x
  3. Step 3: Cross multiply
    1,734x = 2,394.48 × 1,114.08
  4. Step 4: Simplify right side
    1,734x = 2,667,642.28
  5. Step 5: Solve for x
    x = 2,667,642.28/1,734
  6. Step 6: Final answer
    x = 1,538.43

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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.