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Finding the Fourth Proportional to 2,036.53, 3,053.04 and 940.33

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Solution

The fourth proportional to 2,036.53, 3,053.04 and 940.33 is: 1,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.53 : 3,053.04 = 940.33 : x
  2. Step 2: Convert to fraction form
    2,036.53/3,053.04 = 940.33/x
  3. Step 3: Cross multiply
    2,036.53x = 3,053.04 × 940.33
  4. Step 4: Simplify right side
    2,036.53x = 2,870,865.10
  5. Step 5: Solve for x
    x = 2,870,865.10/2,036.53
  6. Step 6: Final answer
    x = 1,409.68

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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.