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Finding the Fourth Proportional to 2,310.75, 3,188.84 and 1,484.19

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Solution

The fourth proportional to 2,310.75, 3,188.84 and 1,484.19 is: 2,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.75 : 3,188.84 = 1,484.19 : x
  2. Step 2: Convert to fraction form
    2,310.75/3,188.84 = 1,484.19/x
  3. Step 3: Cross multiply
    2,310.75x = 3,188.84 × 1,484.19
  4. Step 4: Simplify right side
    2,310.75x = 4,732,837.02
  5. Step 5: Solve for x
    x = 4,732,837.02/2,310.75
  6. Step 6: Final answer
    x = 2,048.18

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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.