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Finding the Fourth Proportional to 1,816.51, 2,721.12 and 1,404.22

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Solution

The fourth proportional to 1,816.51, 2,721.12 and 1,404.22 is: 2,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.51 : 2,721.12 = 1,404.22 : x
  2. Step 2: Convert to fraction form
    1,816.51/2,721.12 = 1,404.22/x
  3. Step 3: Cross multiply
    1,816.51x = 2,721.12 × 1,404.22
  4. Step 4: Simplify right side
    1,816.51x = 3,821,051.13
  5. Step 5: Solve for x
    x = 3,821,051.13/1,816.51
  6. Step 6: Final answer
    x = 2,103.51

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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.