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Finding the Fourth Proportional to 1,801.13, 2,698.05 and 1,407.47

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Solution

The fourth proportional to 1,801.13, 2,698.05 and 1,407.47 is: 2,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.13 : 2,698.05 = 1,407.47 : x
  2. Step 2: Convert to fraction form
    1,801.13/2,698.05 = 1,407.47/x
  3. Step 3: Cross multiply
    1,801.13x = 2,698.05 × 1,407.47
  4. Step 4: Simplify right side
    1,801.13x = 3,797,424.43
  5. Step 5: Solve for x
    x = 3,797,424.43/1,801.13
  6. Step 6: Final answer
    x = 2,108.36

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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.