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Finding the Fourth Proportional to 2,359.24, 3,536.27 and 971.82

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Solution

The fourth proportional to 2,359.24, 3,536.27 and 971.82 is: 1,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.24 : 3,536.27 = 971.82 : x
  2. Step 2: Convert to fraction form
    2,359.24/3,536.27 = 971.82/x
  3. Step 3: Cross multiply
    2,359.24x = 3,536.27 × 971.82
  4. Step 4: Simplify right side
    2,359.24x = 3,436,626.42
  5. Step 5: Solve for x
    x = 3,436,626.42/2,359.24
  6. Step 6: Final answer
    x = 1,456.66

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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.