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Finding the Fourth Proportional to 1,577.06, 2,176.25 and 868.76

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Solution

The fourth proportional to 1,577.06, 2,176.25 and 868.76 is: 1,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.06 : 2,176.25 = 868.76 : x
  2. Step 2: Convert to fraction form
    1,577.06/2,176.25 = 868.76/x
  3. Step 3: Cross multiply
    1,577.06x = 2,176.25 × 868.76
  4. Step 4: Simplify right side
    1,577.06x = 1,890,637.60
  5. Step 5: Solve for x
    x = 1,890,637.60/1,577.06
  6. Step 6: Final answer
    x = 1,198.84

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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.