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Finding the Fourth Proportional to 2,270.40, 3,407.76 and 1,782.24

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Solution

The fourth proportional to 2,270.40, 3,407.76 and 1,782.24 is: 2,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.40 : 3,407.76 = 1,782.24 : x
  2. Step 2: Convert to fraction form
    2,270.40/3,407.76 = 1,782.24/x
  3. Step 3: Cross multiply
    2,270.40x = 3,407.76 × 1,782.24
  4. Step 4: Simplify right side
    2,270.40x = 6,073,446.18
  5. Step 5: Solve for x
    x = 6,073,446.18/2,270.40
  6. Step 6: Final answer
    x = 2,675.06

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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.