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Finding the Fourth Proportional to 2,114.04, 3,170.26 and 726.98

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Solution

The fourth proportional to 2,114.04, 3,170.26 and 726.98 is: 1,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.04 : 3,170.26 = 726.98 : x
  2. Step 2: Convert to fraction form
    2,114.04/3,170.26 = 726.98/x
  3. Step 3: Cross multiply
    2,114.04x = 3,170.26 × 726.98
  4. Step 4: Simplify right side
    2,114.04x = 2,304,715.61
  5. Step 5: Solve for x
    x = 2,304,715.61/2,114.04
  6. Step 6: Final answer
    x = 1,090.19

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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.