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Finding the Fourth Proportional to 2,294.29, 3,442.47 and 978.40

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Solution

The fourth proportional to 2,294.29, 3,442.47 and 978.40 is: 1,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.29 : 3,442.47 = 978.40 : x
  2. Step 2: Convert to fraction form
    2,294.29/3,442.47 = 978.40/x
  3. Step 3: Cross multiply
    2,294.29x = 3,442.47 × 978.40
  4. Step 4: Simplify right side
    2,294.29x = 3,368,090.54
  5. Step 5: Solve for x
    x = 3,368,090.54/2,294.29
  6. Step 6: Final answer
    x = 1,468.03

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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.