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Finding the Fourth Proportional to 2,017.31, 2,784.01 and 1,343.95

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Solution

The fourth proportional to 2,017.31, 2,784.01 and 1,343.95 is: 1,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.31 : 2,784.01 = 1,343.95 : x
  2. Step 2: Convert to fraction form
    2,017.31/2,784.01 = 1,343.95/x
  3. Step 3: Cross multiply
    2,017.31x = 2,784.01 × 1,343.95
  4. Step 4: Simplify right side
    2,017.31x = 3,741,559.92
  5. Step 5: Solve for x
    x = 3,741,559.92/2,017.31
  6. Step 6: Final answer
    x = 1,854.72

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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.