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Finding the Fourth Proportional to 2,805.53, 3,871.57 and 1,758.17

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Solution

The fourth proportional to 2,805.53, 3,871.57 and 1,758.17 is: 2,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.53 : 3,871.57 = 1,758.17 : x
  2. Step 2: Convert to fraction form
    2,805.53/3,871.57 = 1,758.17/x
  3. Step 3: Cross multiply
    2,805.53x = 3,871.57 × 1,758.17
  4. Step 4: Simplify right side
    2,805.53x = 6,806,878.23
  5. Step 5: Solve for x
    x = 6,806,878.23/2,805.53
  6. Step 6: Final answer
    x = 2,426.24

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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.