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Finding the Fourth Proportional to 2,855.35, 4,282.71 and 1,210.68

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Solution

The fourth proportional to 2,855.35, 4,282.71 and 1,210.68 is: 1,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.35 : 4,282.71 = 1,210.68 : x
  2. Step 2: Convert to fraction form
    2,855.35/4,282.71 = 1,210.68/x
  3. Step 3: Cross multiply
    2,855.35x = 4,282.71 × 1,210.68
  4. Step 4: Simplify right side
    2,855.35x = 5,184,986.80
  5. Step 5: Solve for x
    x = 5,184,986.80/2,855.35
  6. Step 6: Final answer
    x = 1,815.88

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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.