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Finding the Fourth Proportional to 2,294.78, 3,442.17 and 651.34

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Solution

The fourth proportional to 2,294.78, 3,442.17 and 651.34 is: 977.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.78 : 3,442.17 = 651.34 : x
  2. Step 2: Convert to fraction form
    2,294.78/3,442.17 = 651.34/x
  3. Step 3: Cross multiply
    2,294.78x = 3,442.17 × 651.34
  4. Step 4: Simplify right side
    2,294.78x = 2,242,023.01
  5. Step 5: Solve for x
    x = 2,242,023.01/2,294.78
  6. Step 6: Final answer
    x = 977.01

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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.