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Finding the Fourth Proportional to 1,797.41, 2,698.41 and 1,386.83

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Solution

The fourth proportional to 1,797.41, 2,698.41 and 1,386.83 is: 2,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.41 : 2,698.41 = 1,386.83 : x
  2. Step 2: Convert to fraction form
    1,797.41/2,698.41 = 1,386.83/x
  3. Step 3: Cross multiply
    1,797.41x = 2,698.41 × 1,386.83
  4. Step 4: Simplify right side
    1,797.41x = 3,742,235.94
  5. Step 5: Solve for x
    x = 3,742,235.94/1,797.41
  6. Step 6: Final answer
    x = 2,082.02

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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.