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Finding the Fourth Proportional to 1,867.94, 2,577.42 and 1,308.20

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Solution

The fourth proportional to 1,867.94, 2,577.42 and 1,308.20 is: 1,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.94 : 2,577.42 = 1,308.20 : x
  2. Step 2: Convert to fraction form
    1,867.94/2,577.42 = 1,308.20/x
  3. Step 3: Cross multiply
    1,867.94x = 2,577.42 × 1,308.20
  4. Step 4: Simplify right side
    1,867.94x = 3,371,780.84
  5. Step 5: Solve for x
    x = 3,371,780.84/1,867.94
  6. Step 6: Final answer
    x = 1,805.08

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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.