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Finding the Fourth Proportional to 1,758.70, 2,427.17 and 1,013.09

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Solution

The fourth proportional to 1,758.70, 2,427.17 and 1,013.09 is: 1,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.70 : 2,427.17 = 1,013.09 : x
  2. Step 2: Convert to fraction form
    1,758.70/2,427.17 = 1,013.09/x
  3. Step 3: Cross multiply
    1,758.70x = 2,427.17 × 1,013.09
  4. Step 4: Simplify right side
    1,758.70x = 2,458,941.66
  5. Step 5: Solve for x
    x = 2,458,941.66/1,758.70
  6. Step 6: Final answer
    x = 1,398.16

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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.