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Finding the Fourth Proportional to 2,431.49, 3,647.52 and 970.65

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Solution

The fourth proportional to 2,431.49, 3,647.52 and 970.65 is: 1,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.49 : 3,647.52 = 970.65 : x
  2. Step 2: Convert to fraction form
    2,431.49/3,647.52 = 970.65/x
  3. Step 3: Cross multiply
    2,431.49x = 3,647.52 × 970.65
  4. Step 4: Simplify right side
    2,431.49x = 3,540,465.29
  5. Step 5: Solve for x
    x = 3,540,465.29/2,431.49
  6. Step 6: Final answer
    x = 1,456.09

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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.