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Finding the Fourth Proportional to 1,491.36, 2,058.17 and 862

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Solution

The fourth proportional to 1,491.36, 2,058.17 and 862 is: 1,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.36 : 2,058.17 = 862 : x
  2. Step 2: Convert to fraction form
    1,491.36/2,058.17 = 862/x
  3. Step 3: Cross multiply
    1,491.36x = 2,058.17 × 862
  4. Step 4: Simplify right side
    1,491.36x = 1,774,142.54
  5. Step 5: Solve for x
    x = 1,774,142.54/1,491.36
  6. Step 6: Final answer
    x = 1,189.61

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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.