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Finding the Fourth Proportional to 3,017.98, 4,164 and 1,838.22

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Solution

The fourth proportional to 3,017.98, 4,164 and 1,838.22 is: 2,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.98 : 4,164 = 1,838.22 : x
  2. Step 2: Convert to fraction form
    3,017.98/4,164 = 1,838.22/x
  3. Step 3: Cross multiply
    3,017.98x = 4,164 × 1,838.22
  4. Step 4: Simplify right side
    3,017.98x = 7,654,348.08
  5. Step 5: Solve for x
    x = 7,654,348.08/3,017.98
  6. Step 6: Final answer
    x = 2,536.25

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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.