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Finding the Fourth Proportional to 2,294.67, 3,442.19 and 651.35

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Solution

The fourth proportional to 2,294.67, 3,442.19 and 651.35 is: 977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.67 : 3,442.19 = 651.35 : x
  2. Step 2: Convert to fraction form
    2,294.67/3,442.19 = 651.35/x
  3. Step 3: Cross multiply
    2,294.67x = 3,442.19 × 651.35
  4. Step 4: Simplify right side
    2,294.67x = 2,242,049.99
  5. Step 5: Solve for x
    x = 2,242,049.99/2,294.67
  6. Step 6: Final answer
    x = 977.07

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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.