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Finding the Fourth Proportional to 2,294.49, 3,442.62 and 978.51

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Solution

The fourth proportional to 2,294.49, 3,442.62 and 978.51 is: 1,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.49 : 3,442.62 = 978.51 : x
  2. Step 2: Convert to fraction form
    2,294.49/3,442.62 = 978.51/x
  3. Step 3: Cross multiply
    2,294.49x = 3,442.62 × 978.51
  4. Step 4: Simplify right side
    2,294.49x = 3,368,638.10
  5. Step 5: Solve for x
    x = 3,368,638.10/2,294.49
  6. Step 6: Final answer
    x = 1,468.14

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