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Finding the Fourth Proportional to 2,036.71, 3,055.16 and 737.83

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Solution

The fourth proportional to 2,036.71, 3,055.16 and 737.83 is: 1,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.71 : 3,055.16 = 737.83 : x
  2. Step 2: Convert to fraction form
    2,036.71/3,055.16 = 737.83/x
  3. Step 3: Cross multiply
    2,036.71x = 3,055.16 × 737.83
  4. Step 4: Simplify right side
    2,036.71x = 2,254,188.70
  5. Step 5: Solve for x
    x = 2,254,188.70/2,036.71
  6. Step 6: Final answer
    x = 1,106.78

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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.