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Finding the Fourth Proportional to 1,770.31, 2,657.63 and 1,177.84

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Solution

The fourth proportional to 1,770.31, 2,657.63 and 1,177.84 is: 1,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.31 : 2,657.63 = 1,177.84 : x
  2. Step 2: Convert to fraction form
    1,770.31/2,657.63 = 1,177.84/x
  3. Step 3: Cross multiply
    1,770.31x = 2,657.63 × 1,177.84
  4. Step 4: Simplify right side
    1,770.31x = 3,130,262.92
  5. Step 5: Solve for x
    x = 3,130,262.92/1,770.31
  6. Step 6: Final answer
    x = 1,768.20

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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.