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Finding the Fourth Proportional to 2,152.67, 3,230.40 and 983.30

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Solution

The fourth proportional to 2,152.67, 3,230.40 and 983.30 is: 1,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.67 : 3,230.40 = 983.30 : x
  2. Step 2: Convert to fraction form
    2,152.67/3,230.40 = 983.30/x
  3. Step 3: Cross multiply
    2,152.67x = 3,230.40 × 983.30
  4. Step 4: Simplify right side
    2,152.67x = 3,176,452.32
  5. Step 5: Solve for x
    x = 3,176,452.32/2,152.67
  6. Step 6: Final answer
    x = 1,475.59

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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.