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Finding the Fourth Proportional to 2,931.06, 4,397 and 983.82

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Solution

The fourth proportional to 2,931.06, 4,397 and 983.82 is: 1,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.06 : 4,397 = 983.82 : x
  2. Step 2: Convert to fraction form
    2,931.06/4,397 = 983.82/x
  3. Step 3: Cross multiply
    2,931.06x = 4,397 × 983.82
  4. Step 4: Simplify right side
    2,931.06x = 4,325,856.54
  5. Step 5: Solve for x
    x = 4,325,856.54/2,931.06
  6. Step 6: Final answer
    x = 1,475.87

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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.