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Finding the Fourth Proportional to 2,357.31, 3,532.89 and 969.06

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Solution

The fourth proportional to 2,357.31, 3,532.89 and 969.06 is: 1,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.31 : 3,532.89 = 969.06 : x
  2. Step 2: Convert to fraction form
    2,357.31/3,532.89 = 969.06/x
  3. Step 3: Cross multiply
    2,357.31x = 3,532.89 × 969.06
  4. Step 4: Simplify right side
    2,357.31x = 3,423,582.38
  5. Step 5: Solve for x
    x = 3,423,582.38/2,357.31
  6. Step 6: Final answer
    x = 1,452.33

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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.