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Finding the Fourth Proportional to 2,389.83, 3,298.14 and 1,327.71

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Solution

The fourth proportional to 2,389.83, 3,298.14 and 1,327.71 is: 1,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.83 : 3,298.14 = 1,327.71 : x
  2. Step 2: Convert to fraction form
    2,389.83/3,298.14 = 1,327.71/x
  3. Step 3: Cross multiply
    2,389.83x = 3,298.14 × 1,327.71
  4. Step 4: Simplify right side
    2,389.83x = 4,378,973.46
  5. Step 5: Solve for x
    x = 4,378,973.46/2,389.83
  6. Step 6: Final answer
    x = 1,832.34

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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.