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Finding the Fourth Proportional to 1,089.45, 1,637.19 and 1,083.47

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Solution

The fourth proportional to 1,089.45, 1,637.19 and 1,083.47 is: 1,628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.45 : 1,637.19 = 1,083.47 : x
  2. Step 2: Convert to fraction form
    1,089.45/1,637.19 = 1,083.47/x
  3. Step 3: Cross multiply
    1,089.45x = 1,637.19 × 1,083.47
  4. Step 4: Simplify right side
    1,089.45x = 1,773,838.06
  5. Step 5: Solve for x
    x = 1,773,838.06/1,089.45
  6. Step 6: Final answer
    x = 1,628.20

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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.