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Finding the Fourth Proportional to 2,036.72, 2,810.95 and 1,197.62

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Solution

The fourth proportional to 2,036.72, 2,810.95 and 1,197.62 is: 1,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.72 : 2,810.95 = 1,197.62 : x
  2. Step 2: Convert to fraction form
    2,036.72/2,810.95 = 1,197.62/x
  3. Step 3: Cross multiply
    2,036.72x = 2,810.95 × 1,197.62
  4. Step 4: Simplify right side
    2,036.72x = 3,366,453.97
  5. Step 5: Solve for x
    x = 3,366,453.97/2,036.72
  6. Step 6: Final answer
    x = 1,652.88

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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.