Home / 1,658.35-2,286.10-1,159.44

Finding the Fourth Proportional to 1,658.35, 2,286.10 and 1,159.44

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Solution

The fourth proportional to 1,658.35, 2,286.10 and 1,159.44 is: 1,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.35 : 2,286.10 = 1,159.44 : x
  2. Step 2: Convert to fraction form
    1,658.35/2,286.10 = 1,159.44/x
  3. Step 3: Cross multiply
    1,658.35x = 2,286.10 × 1,159.44
  4. Step 4: Simplify right side
    1,658.35x = 2,650,595.78
  5. Step 5: Solve for x
    x = 2,650,595.78/1,658.35
  6. Step 6: Final answer
    x = 1,598.33

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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.