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Finding the Fourth Proportional to 1,405.40, 2,112.15 and 1,227.20

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Solution

The fourth proportional to 1,405.40, 2,112.15 and 1,227.20 is: 1,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.40 : 2,112.15 = 1,227.20 : x
  2. Step 2: Convert to fraction form
    1,405.40/2,112.15 = 1,227.20/x
  3. Step 3: Cross multiply
    1,405.40x = 2,112.15 × 1,227.20
  4. Step 4: Simplify right side
    1,405.40x = 2,592,030.48
  5. Step 5: Solve for x
    x = 2,592,030.48/1,405.40
  6. Step 6: Final answer
    x = 1,844.34

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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.