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Finding the Fourth Proportional to 1,765.55, 2,437.14 and 1,177.79

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Solution

The fourth proportional to 1,765.55, 2,437.14 and 1,177.79 is: 1,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.55 : 2,437.14 = 1,177.79 : x
  2. Step 2: Convert to fraction form
    1,765.55/2,437.14 = 1,177.79/x
  3. Step 3: Cross multiply
    1,765.55x = 2,437.14 × 1,177.79
  4. Step 4: Simplify right side
    1,765.55x = 2,870,438.44
  5. Step 5: Solve for x
    x = 2,870,438.44/1,765.55
  6. Step 6: Final answer
    x = 1,625.81

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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.