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Finding the Fourth Proportional to 2,036.96, 2,811.44 and 1,197.76

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Solution

The fourth proportional to 2,036.96, 2,811.44 and 1,197.76 is: 1,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.96 : 2,811.44 = 1,197.76 : x
  2. Step 2: Convert to fraction form
    2,036.96/2,811.44 = 1,197.76/x
  3. Step 3: Cross multiply
    2,036.96x = 2,811.44 × 1,197.76
  4. Step 4: Simplify right side
    2,036.96x = 3,367,430.37
  5. Step 5: Solve for x
    x = 3,367,430.37/2,036.96
  6. Step 6: Final answer
    x = 1,653.16

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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.