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Finding the Fourth Proportional to 1,807.58, 2,711.46 and 766.54

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Solution

The fourth proportional to 1,807.58, 2,711.46 and 766.54 is: 1,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.58 : 2,711.46 = 766.54 : x
  2. Step 2: Convert to fraction form
    1,807.58/2,711.46 = 766.54/x
  3. Step 3: Cross multiply
    1,807.58x = 2,711.46 × 766.54
  4. Step 4: Simplify right side
    1,807.58x = 2,078,442.55
  5. Step 5: Solve for x
    x = 2,078,442.55/1,807.58
  6. Step 6: Final answer
    x = 1,149.85

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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.