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Finding the Fourth Proportional to 1,551.29, 2,140.73 and 843.10

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Solution

The fourth proportional to 1,551.29, 2,140.73 and 843.10 is: 1,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.29 : 2,140.73 = 843.10 : x
  2. Step 2: Convert to fraction form
    1,551.29/2,140.73 = 843.10/x
  3. Step 3: Cross multiply
    1,551.29x = 2,140.73 × 843.10
  4. Step 4: Simplify right side
    1,551.29x = 1,804,849.46
  5. Step 5: Solve for x
    x = 1,804,849.46/1,551.29
  6. Step 6: Final answer
    x = 1,163.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.