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Finding the Fourth Proportional to 2,114.07, 3,168.90 and 726.93

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Solution

The fourth proportional to 2,114.07, 3,168.90 and 726.93 is: 1,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.07 : 3,168.90 = 726.93 : x
  2. Step 2: Convert to fraction form
    2,114.07/3,168.90 = 726.93/x
  3. Step 3: Cross multiply
    2,114.07x = 3,168.90 × 726.93
  4. Step 4: Simplify right side
    2,114.07x = 2,303,568.48
  5. Step 5: Solve for x
    x = 2,303,568.48/2,114.07
  6. Step 6: Final answer
    x = 1,089.64

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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.