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Finding the Fourth Proportional to 2,294.31, 3,441.47 and 562.94

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Solution

The fourth proportional to 2,294.31, 3,441.47 and 562.94 is: 844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.31 : 3,441.47 = 562.94 : x
  2. Step 2: Convert to fraction form
    2,294.31/3,441.47 = 562.94/x
  3. Step 3: Cross multiply
    2,294.31x = 3,441.47 × 562.94
  4. Step 4: Simplify right side
    2,294.31x = 1,937,341.12
  5. Step 5: Solve for x
    x = 1,937,341.12/2,294.31
  6. Step 6: Final answer
    x = 844.41

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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.