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Finding the Fourth Proportional to 1,406.66, 2,108.15 and 1,223.18

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Solution

The fourth proportional to 1,406.66, 2,108.15 and 1,223.18 is: 1,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.66 : 2,108.15 = 1,223.18 : x
  2. Step 2: Convert to fraction form
    1,406.66/2,108.15 = 1,223.18/x
  3. Step 3: Cross multiply
    1,406.66x = 2,108.15 × 1,223.18
  4. Step 4: Simplify right side
    1,406.66x = 2,578,640.80
  5. Step 5: Solve for x
    x = 2,578,640.80/1,406.66
  6. Step 6: Final answer
    x = 1,833.17

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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.