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Finding the Fourth Proportional to 2,317.43, 3,474.04 and 1,000.36

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Solution

The fourth proportional to 2,317.43, 3,474.04 and 1,000.36 is: 1,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.43 : 3,474.04 = 1,000.36 : x
  2. Step 2: Convert to fraction form
    2,317.43/3,474.04 = 1,000.36/x
  3. Step 3: Cross multiply
    2,317.43x = 3,474.04 × 1,000.36
  4. Step 4: Simplify right side
    2,317.43x = 3,475,294.34
  5. Step 5: Solve for x
    x = 3,475,294.34/2,317.43
  6. Step 6: Final answer
    x = 1,499.63

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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.