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Finding the Fourth Proportional to 1,366.61, 2,052.54 and 959.18

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Solution

The fourth proportional to 1,366.61, 2,052.54 and 959.18 is: 1,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.61 : 2,052.54 = 959.18 : x
  2. Step 2: Convert to fraction form
    1,366.61/2,052.54 = 959.18/x
  3. Step 3: Cross multiply
    1,366.61x = 2,052.54 × 959.18
  4. Step 4: Simplify right side
    1,366.61x = 1,968,745.05
  5. Step 5: Solve for x
    x = 1,968,745.05/1,366.61
  6. Step 6: Final answer
    x = 1,440.61

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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.