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Finding the Fourth Proportional to 3,210.78, 4,816.89 and 1,019.64

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Solution

The fourth proportional to 3,210.78, 4,816.89 and 1,019.64 is: 1,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.78 : 4,816.89 = 1,019.64 : x
  2. Step 2: Convert to fraction form
    3,210.78/4,816.89 = 1,019.64/x
  3. Step 3: Cross multiply
    3,210.78x = 4,816.89 × 1,019.64
  4. Step 4: Simplify right side
    3,210.78x = 4,911,493.72
  5. Step 5: Solve for x
    x = 4,911,493.72/3,210.78
  6. Step 6: Final answer
    x = 1,529.69

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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.