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Finding the Fourth Proportional to 2,427.71, 3,346.38 and 1,829.32

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Solution

The fourth proportional to 2,427.71, 3,346.38 and 1,829.32 is: 2,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.71 : 3,346.38 = 1,829.32 : x
  2. Step 2: Convert to fraction form
    2,427.71/3,346.38 = 1,829.32/x
  3. Step 3: Cross multiply
    2,427.71x = 3,346.38 × 1,829.32
  4. Step 4: Simplify right side
    2,427.71x = 6,121,591.50
  5. Step 5: Solve for x
    x = 6,121,591.50/2,427.71
  6. Step 6: Final answer
    x = 2,521.55

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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.