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Finding the Fourth Proportional to 2,818.14, 4,226.73 and 870.36

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Solution

The fourth proportional to 2,818.14, 4,226.73 and 870.36 is: 1,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.14 : 4,226.73 = 870.36 : x
  2. Step 2: Convert to fraction form
    2,818.14/4,226.73 = 870.36/x
  3. Step 3: Cross multiply
    2,818.14x = 4,226.73 × 870.36
  4. Step 4: Simplify right side
    2,818.14x = 3,678,776.72
  5. Step 5: Solve for x
    x = 3,678,776.72/2,818.14
  6. Step 6: Final answer
    x = 1,305.39

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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.