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Finding the Fourth Proportional to 1,618.49, 2,428.34 and 969.68

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Solution

The fourth proportional to 1,618.49, 2,428.34 and 969.68 is: 1,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.49 : 2,428.34 = 969.68 : x
  2. Step 2: Convert to fraction form
    1,618.49/2,428.34 = 969.68/x
  3. Step 3: Cross multiply
    1,618.49x = 2,428.34 × 969.68
  4. Step 4: Simplify right side
    1,618.49x = 2,354,695.74
  5. Step 5: Solve for x
    x = 2,354,695.74/1,618.49
  6. Step 6: Final answer
    x = 1,454.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.