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Finding the Fourth Proportional to 2,036.74, 2,810.54 and 1,197.48

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Solution

The fourth proportional to 2,036.74, 2,810.54 and 1,197.48 is: 1,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.74 : 2,810.54 = 1,197.48 : x
  2. Step 2: Convert to fraction form
    2,036.74/2,810.54 = 1,197.48/x
  3. Step 3: Cross multiply
    2,036.74x = 2,810.54 × 1,197.48
  4. Step 4: Simplify right side
    2,036.74x = 3,365,565.44
  5. Step 5: Solve for x
    x = 3,365,565.44/2,036.74
  6. Step 6: Final answer
    x = 1,652.43

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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.