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Finding the Fourth Proportional to 1,510.41, 2,084.25 and 847.12

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Solution

The fourth proportional to 1,510.41, 2,084.25 and 847.12 is: 1,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.41 : 2,084.25 = 847.12 : x
  2. Step 2: Convert to fraction form
    1,510.41/2,084.25 = 847.12/x
  3. Step 3: Cross multiply
    1,510.41x = 2,084.25 × 847.12
  4. Step 4: Simplify right side
    1,510.41x = 1,765,609.86
  5. Step 5: Solve for x
    x = 1,765,609.86/1,510.41
  6. Step 6: Final answer
    x = 1,168.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.