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Finding the Fourth Proportional to 2,810.07, 4,213.67 and 1,513.11

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Solution

The fourth proportional to 2,810.07, 4,213.67 and 1,513.11 is: 2,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.07 : 4,213.67 = 1,513.11 : x
  2. Step 2: Convert to fraction form
    2,810.07/4,213.67 = 1,513.11/x
  3. Step 3: Cross multiply
    2,810.07x = 4,213.67 × 1,513.11
  4. Step 4: Simplify right side
    2,810.07x = 6,375,738.65
  5. Step 5: Solve for x
    x = 6,375,738.65/2,810.07
  6. Step 6: Final answer
    x = 2,268.89

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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.