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Finding the Fourth Proportional to 2,356.19, 3,517.07 and 2,184.88

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Solution

The fourth proportional to 2,356.19, 3,517.07 and 2,184.88 is: 3,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.19 : 3,517.07 = 2,184.88 : x
  2. Step 2: Convert to fraction form
    2,356.19/3,517.07 = 2,184.88/x
  3. Step 3: Cross multiply
    2,356.19x = 3,517.07 × 2,184.88
  4. Step 4: Simplify right side
    2,356.19x = 7,684,375.90
  5. Step 5: Solve for x
    x = 7,684,375.90/2,356.19
  6. Step 6: Final answer
    x = 3,261.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.