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Finding the Fourth Proportional to 2,036.96, 2,810.49 and 1,328.57

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Solution

The fourth proportional to 2,036.96, 2,810.49 and 1,328.57 is: 1,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.96 : 2,810.49 = 1,328.57 : x
  2. Step 2: Convert to fraction form
    2,036.96/2,810.49 = 1,328.57/x
  3. Step 3: Cross multiply
    2,036.96x = 2,810.49 × 1,328.57
  4. Step 4: Simplify right side
    2,036.96x = 3,733,918.65
  5. Step 5: Solve for x
    x = 3,733,918.65/2,036.96
  6. Step 6: Final answer
    x = 1,833.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.