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Finding the Fourth Proportional to 1,822.87, 2,734.40 and 783.01

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Solution

The fourth proportional to 1,822.87, 2,734.40 and 783.01 is: 1,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.87 : 2,734.40 = 783.01 : x
  2. Step 2: Convert to fraction form
    1,822.87/2,734.40 = 783.01/x
  3. Step 3: Cross multiply
    1,822.87x = 2,734.40 × 783.01
  4. Step 4: Simplify right side
    1,822.87x = 2,141,062.54
  5. Step 5: Solve for x
    x = 2,141,062.54/1,822.87
  6. Step 6: Final answer
    x = 1,174.56

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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.