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Finding the Fourth Proportional to 3,482.15, 4,803.67 and 2,304.20

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Solution

The fourth proportional to 3,482.15, 4,803.67 and 2,304.20 is: 3,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.15 : 4,803.67 = 2,304.20 : x
  2. Step 2: Convert to fraction form
    3,482.15/4,803.67 = 2,304.20/x
  3. Step 3: Cross multiply
    3,482.15x = 4,803.67 × 2,304.20
  4. Step 4: Simplify right side
    3,482.15x = 11,068,631.30
  5. Step 5: Solve for x
    x = 11,068,631.30/3,482.15
  6. Step 6: Final answer
    x = 3,178.68

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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.