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Finding the Fourth Proportional to 1,836.25, 2,752.03 and 860.20

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Solution

The fourth proportional to 1,836.25, 2,752.03 and 860.20 is: 1,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.25 : 2,752.03 = 860.20 : x
  2. Step 2: Convert to fraction form
    1,836.25/2,752.03 = 860.20/x
  3. Step 3: Cross multiply
    1,836.25x = 2,752.03 × 860.20
  4. Step 4: Simplify right side
    1,836.25x = 2,367,280.30
  5. Step 5: Solve for x
    x = 2,367,280.30/1,836.25
  6. Step 6: Final answer
    x = 1,289.20

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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.