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Finding the Fourth Proportional to 1,758.14, 2,427.08 and 1,129.61

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Solution

The fourth proportional to 1,758.14, 2,427.08 and 1,129.61 is: 1,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.14 : 2,427.08 = 1,129.61 : x
  2. Step 2: Convert to fraction form
    1,758.14/2,427.08 = 1,129.61/x
  3. Step 3: Cross multiply
    1,758.14x = 2,427.08 × 1,129.61
  4. Step 4: Simplify right side
    1,758.14x = 2,741,636.06
  5. Step 5: Solve for x
    x = 2,741,636.06/1,758.14
  6. Step 6: Final answer
    x = 1,559.40

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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.