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Finding the Fourth Proportional to 2,294.23, 3,441.36 and 562.87

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Solution

The fourth proportional to 2,294.23, 3,441.36 and 562.87 is: 844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.23 : 3,441.36 = 562.87 : x
  2. Step 2: Convert to fraction form
    2,294.23/3,441.36 = 562.87/x
  3. Step 3: Cross multiply
    2,294.23x = 3,441.36 × 562.87
  4. Step 4: Simplify right side
    2,294.23x = 1,937,038.30
  5. Step 5: Solve for x
    x = 1,937,038.30/2,294.23
  6. Step 6: Final answer
    x = 844.31

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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.