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Finding the Fourth Proportional to 3,210.46, 4,815.72 and 1,019.20

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Solution

The fourth proportional to 3,210.46, 4,815.72 and 1,019.20 is: 1,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.46 : 4,815.72 = 1,019.20 : x
  2. Step 2: Convert to fraction form
    3,210.46/4,815.72 = 1,019.20/x
  3. Step 3: Cross multiply
    3,210.46x = 4,815.72 × 1,019.20
  4. Step 4: Simplify right side
    3,210.46x = 4,908,181.82
  5. Step 5: Solve for x
    x = 4,908,181.82/3,210.46
  6. Step 6: Final answer
    x = 1,528.81

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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.