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Finding the Fourth Proportional to 2,017.94, 2,782.80 and 1,310.03

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Solution

The fourth proportional to 2,017.94, 2,782.80 and 1,310.03 is: 1,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.94 : 2,782.80 = 1,310.03 : x
  2. Step 2: Convert to fraction form
    2,017.94/2,782.80 = 1,310.03/x
  3. Step 3: Cross multiply
    2,017.94x = 2,782.80 × 1,310.03
  4. Step 4: Simplify right side
    2,017.94x = 3,645,551.48
  5. Step 5: Solve for x
    x = 3,645,551.48/2,017.94
  6. Step 6: Final answer
    x = 1,806.57

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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.