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Finding the Fourth Proportional to 1,766.36, 2,432.01 and 1,500.27

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Solution

The fourth proportional to 1,766.36, 2,432.01 and 1,500.27 is: 2,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.36 : 2,432.01 = 1,500.27 : x
  2. Step 2: Convert to fraction form
    1,766.36/2,432.01 = 1,500.27/x
  3. Step 3: Cross multiply
    1,766.36x = 2,432.01 × 1,500.27
  4. Step 4: Simplify right side
    1,766.36x = 3,648,671.64
  5. Step 5: Solve for x
    x = 3,648,671.64/1,766.36
  6. Step 6: Final answer
    x = 2,065.64

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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.