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Finding the Fourth Proportional to 3,017.81, 4,170.29 and 2,270.47

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Solution

The fourth proportional to 3,017.81, 4,170.29 and 2,270.47 is: 3,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.81 : 4,170.29 = 2,270.47 : x
  2. Step 2: Convert to fraction form
    3,017.81/4,170.29 = 2,270.47/x
  3. Step 3: Cross multiply
    3,017.81x = 4,170.29 × 2,270.47
  4. Step 4: Simplify right side
    3,017.81x = 9,468,518.34
  5. Step 5: Solve for x
    x = 9,468,518.34/3,017.81
  6. Step 6: Final answer
    x = 3,137.55

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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.