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Finding the Fourth Proportional to 2,036.96, 3,056.24 and 738.52

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Solution

The fourth proportional to 2,036.96, 3,056.24 and 738.52 is: 1,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.96 : 3,056.24 = 738.52 : x
  2. Step 2: Convert to fraction form
    2,036.96/3,056.24 = 738.52/x
  3. Step 3: Cross multiply
    2,036.96x = 3,056.24 × 738.52
  4. Step 4: Simplify right side
    2,036.96x = 2,257,094.36
  5. Step 5: Solve for x
    x = 2,257,094.36/2,036.96
  6. Step 6: Final answer
    x = 1,108.07

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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.