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Finding the Fourth Proportional to 1,782.97, 2,458.10 and 1,251.14

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Solution

The fourth proportional to 1,782.97, 2,458.10 and 1,251.14 is: 1,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.97 : 2,458.10 = 1,251.14 : x
  2. Step 2: Convert to fraction form
    1,782.97/2,458.10 = 1,251.14/x
  3. Step 3: Cross multiply
    1,782.97x = 2,458.10 × 1,251.14
  4. Step 4: Simplify right side
    1,782.97x = 3,075,420.98
  5. Step 5: Solve for x
    x = 3,075,420.98/1,782.97
  6. Step 6: Final answer
    x = 1,724.89

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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.