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Finding the Fourth Proportional to 1,230.90, 1,846.35 and 1,177.58

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Solution

The fourth proportional to 1,230.90, 1,846.35 and 1,177.58 is: 1,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.90 : 1,846.35 = 1,177.58 : x
  2. Step 2: Convert to fraction form
    1,230.90/1,846.35 = 1,177.58/x
  3. Step 3: Cross multiply
    1,230.90x = 1,846.35 × 1,177.58
  4. Step 4: Simplify right side
    1,230.90x = 2,174,215.60
  5. Step 5: Solve for x
    x = 2,174,215.60/1,230.90
  6. Step 6: Final answer
    x = 1,766.36

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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.