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Finding the Fourth Proportional to 1,867.95, 2,577.64 and 1,028.59

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Solution

The fourth proportional to 1,867.95, 2,577.64 and 1,028.59 is: 1,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.95 : 2,577.64 = 1,028.59 : x
  2. Step 2: Convert to fraction form
    1,867.95/2,577.64 = 1,028.59/x
  3. Step 3: Cross multiply
    1,867.95x = 2,577.64 × 1,028.59
  4. Step 4: Simplify right side
    1,867.95x = 2,651,334.73
  5. Step 5: Solve for x
    x = 2,651,334.73/1,867.95
  6. Step 6: Final answer
    x = 1,419.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.