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Finding the Fourth Proportional to 1,867.98, 2,577.79 and 1,028.77

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Solution

The fourth proportional to 1,867.98, 2,577.79 and 1,028.77 is: 1,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.98 : 2,577.79 = 1,028.77 : x
  2. Step 2: Convert to fraction form
    1,867.98/2,577.79 = 1,028.77/x
  3. Step 3: Cross multiply
    1,867.98x = 2,577.79 × 1,028.77
  4. Step 4: Simplify right side
    1,867.98x = 2,651,939.17
  5. Step 5: Solve for x
    x = 2,651,939.17/1,867.98
  6. Step 6: Final answer
    x = 1,419.68

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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.