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Finding the Fourth Proportional to 2,084.19, 3,127.16 and 913.58

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Solution

The fourth proportional to 2,084.19, 3,127.16 and 913.58 is: 1,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.19 : 3,127.16 = 913.58 : x
  2. Step 2: Convert to fraction form
    2,084.19/3,127.16 = 913.58/x
  3. Step 3: Cross multiply
    2,084.19x = 3,127.16 × 913.58
  4. Step 4: Simplify right side
    2,084.19x = 2,856,921.66
  5. Step 5: Solve for x
    x = 2,856,921.66/2,084.19
  6. Step 6: Final answer
    x = 1,370.76

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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.