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Finding the Fourth Proportional to 1,400.33, 1,934.01 and 1,089.36

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Solution

The fourth proportional to 1,400.33, 1,934.01 and 1,089.36 is: 1,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.33 : 1,934.01 = 1,089.36 : x
  2. Step 2: Convert to fraction form
    1,400.33/1,934.01 = 1,089.36/x
  3. Step 3: Cross multiply
    1,400.33x = 1,934.01 × 1,089.36
  4. Step 4: Simplify right side
    1,400.33x = 2,106,833.13
  5. Step 5: Solve for x
    x = 2,106,833.13/1,400.33
  6. Step 6: Final answer
    x = 1,504.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.