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Finding the Fourth Proportional to 2,036.02, 3,053.40 and 803.74

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Solution

The fourth proportional to 2,036.02, 3,053.40 and 803.74 is: 1,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.02 : 3,053.40 = 803.74 : x
  2. Step 2: Convert to fraction form
    2,036.02/3,053.40 = 803.74/x
  3. Step 3: Cross multiply
    2,036.02x = 3,053.40 × 803.74
  4. Step 4: Simplify right side
    2,036.02x = 2,454,139.72
  5. Step 5: Solve for x
    x = 2,454,139.72/2,036.02
  6. Step 6: Final answer
    x = 1,205.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.