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Finding the Fourth Proportional to 2,040.27, 3,061.59 and 870.21

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Solution

The fourth proportional to 2,040.27, 3,061.59 and 870.21 is: 1,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.27 : 3,061.59 = 870.21 : x
  2. Step 2: Convert to fraction form
    2,040.27/3,061.59 = 870.21/x
  3. Step 3: Cross multiply
    2,040.27x = 3,061.59 × 870.21
  4. Step 4: Simplify right side
    2,040.27x = 2,664,226.23
  5. Step 5: Solve for x
    x = 2,664,226.23/2,040.27
  6. Step 6: Final answer
    x = 1,305.82

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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.