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Finding the Fourth Proportional to 4,602.32, 6,901.86 and 1,482.20

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Solution

The fourth proportional to 4,602.32, 6,901.86 and 1,482.20 is: 2,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.32 : 6,901.86 = 1,482.20 : x
  2. Step 2: Convert to fraction form
    4,602.32/6,901.86 = 1,482.20/x
  3. Step 3: Cross multiply
    4,602.32x = 6,901.86 × 1,482.20
  4. Step 4: Simplify right side
    4,602.32x = 10,229,936.89
  5. Step 5: Solve for x
    x = 10,229,936.89/4,602.32
  6. Step 6: Final answer
    x = 2,222.78

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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.