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Finding the Fourth Proportional to 2,359.32, 3,536.20 and 971.97

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Solution

The fourth proportional to 2,359.32, 3,536.20 and 971.97 is: 1,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.32 : 3,536.20 = 971.97 : x
  2. Step 2: Convert to fraction form
    2,359.32/3,536.20 = 971.97/x
  3. Step 3: Cross multiply
    2,359.32x = 3,536.20 × 971.97
  4. Step 4: Simplify right side
    2,359.32x = 3,437,080.31
  5. Step 5: Solve for x
    x = 3,437,080.31/2,359.32
  6. Step 6: Final answer
    x = 1,456.81

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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.