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Finding the Fourth Proportional to 3,210.23, 4,814.97 and 870.09

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Solution

The fourth proportional to 3,210.23, 4,814.97 and 870.09 is: 1,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.23 : 4,814.97 = 870.09 : x
  2. Step 2: Convert to fraction form
    3,210.23/4,814.97 = 870.09/x
  3. Step 3: Cross multiply
    3,210.23x = 4,814.97 × 870.09
  4. Step 4: Simplify right side
    3,210.23x = 4,189,453.98
  5. Step 5: Solve for x
    x = 4,189,453.98/3,210.23
  6. Step 6: Final answer
    x = 1,305.03

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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.