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Finding the Fourth Proportional to 2,294.20, 3,438.84 and 978.64

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Solution

The fourth proportional to 2,294.20, 3,438.84 and 978.64 is: 1,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.20 : 3,438.84 = 978.64 : x
  2. Step 2: Convert to fraction form
    2,294.20/3,438.84 = 978.64/x
  3. Step 3: Cross multiply
    2,294.20x = 3,438.84 × 978.64
  4. Step 4: Simplify right side
    2,294.20x = 3,365,386.38
  5. Step 5: Solve for x
    x = 3,365,386.38/2,294.20
  6. Step 6: Final answer
    x = 1,466.91

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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.