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Finding the Fourth Proportional to 1,215.52, 1,808.31 and 1,211.20

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Solution

The fourth proportional to 1,215.52, 1,808.31 and 1,211.20 is: 1,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.52 : 1,808.31 = 1,211.20 : x
  2. Step 2: Convert to fraction form
    1,215.52/1,808.31 = 1,211.20/x
  3. Step 3: Cross multiply
    1,215.52x = 1,808.31 × 1,211.20
  4. Step 4: Simplify right side
    1,215.52x = 2,190,225.07
  5. Step 5: Solve for x
    x = 2,190,225.07/1,215.52
  6. Step 6: Final answer
    x = 1,801.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.