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Finding the Fourth Proportional to 1,806.40, 2,705.82 and 1,497.52

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Solution

The fourth proportional to 1,806.40, 2,705.82 and 1,497.52 is: 2,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.40 : 2,705.82 = 1,497.52 : x
  2. Step 2: Convert to fraction form
    1,806.40/2,705.82 = 1,497.52/x
  3. Step 3: Cross multiply
    1,806.40x = 2,705.82 × 1,497.52
  4. Step 4: Simplify right side
    1,806.40x = 4,052,019.57
  5. Step 5: Solve for x
    x = 4,052,019.57/1,806.40
  6. Step 6: Final answer
    x = 2,243.15

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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.