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Finding the Fourth Proportional to 2,855.29, 4,282.87 and 1,316.29

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Solution

The fourth proportional to 2,855.29, 4,282.87 and 1,316.29 is: 1,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.29 : 4,282.87 = 1,316.29 : x
  2. Step 2: Convert to fraction form
    2,855.29/4,282.87 = 1,316.29/x
  3. Step 3: Cross multiply
    2,855.29x = 4,282.87 × 1,316.29
  4. Step 4: Simplify right side
    2,855.29x = 5,637,498.95
  5. Step 5: Solve for x
    x = 5,637,498.95/2,855.29
  6. Step 6: Final answer
    x = 1,974.41

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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.