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Finding the Fourth Proportional to 1,550.17, 2,138.63 and 886.67

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Solution

The fourth proportional to 1,550.17, 2,138.63 and 886.67 is: 1,223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.17 : 2,138.63 = 886.67 : x
  2. Step 2: Convert to fraction form
    1,550.17/2,138.63 = 886.67/x
  3. Step 3: Cross multiply
    1,550.17x = 2,138.63 × 886.67
  4. Step 4: Simplify right side
    1,550.17x = 1,896,259.06
  5. Step 5: Solve for x
    x = 1,896,259.06/1,550.17
  6. Step 6: Final answer
    x = 1,223.26

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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.