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Finding the Fourth Proportional to 1,577.84, 2,363.22 and 1,268.91

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Solution

The fourth proportional to 1,577.84, 2,363.22 and 1,268.91 is: 1,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.84 : 2,363.22 = 1,268.91 : x
  2. Step 2: Convert to fraction form
    1,577.84/2,363.22 = 1,268.91/x
  3. Step 3: Cross multiply
    1,577.84x = 2,363.22 × 1,268.91
  4. Step 4: Simplify right side
    1,577.84x = 2,998,713.49
  5. Step 5: Solve for x
    x = 2,998,713.49/1,577.84
  6. Step 6: Final answer
    x = 1,900.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.