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Finding the Fourth Proportional to 2,294.87, 3,442.29 and 651.41

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Solution

The fourth proportional to 2,294.87, 3,442.29 and 651.41 is: 977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.87 : 3,442.29 = 651.41 : x
  2. Step 2: Convert to fraction form
    2,294.87/3,442.29 = 651.41/x
  3. Step 3: Cross multiply
    2,294.87x = 3,442.29 × 651.41
  4. Step 4: Simplify right side
    2,294.87x = 2,242,324.92
  5. Step 5: Solve for x
    x = 2,242,324.92/2,294.87
  6. Step 6: Final answer
    x = 977.11

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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.