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Finding the Fourth Proportional to 3,330.19, 4,995.30 and 864.83

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Solution

The fourth proportional to 3,330.19, 4,995.30 and 864.83 is: 1,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330.19 : 4,995.30 = 864.83 : x
  2. Step 2: Convert to fraction form
    3,330.19/4,995.30 = 864.83/x
  3. Step 3: Cross multiply
    3,330.19x = 4,995.30 × 864.83
  4. Step 4: Simplify right side
    3,330.19x = 4,320,065.63
  5. Step 5: Solve for x
    x = 4,320,065.63/3,330.19
  6. Step 6: Final answer
    x = 1,297.24

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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.