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Finding the Fourth Proportional to 1,315.41, 1,982.17 and 1,089.39

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Solution

The fourth proportional to 1,315.41, 1,982.17 and 1,089.39 is: 1,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.41 : 1,982.17 = 1,089.39 : x
  2. Step 2: Convert to fraction form
    1,315.41/1,982.17 = 1,089.39/x
  3. Step 3: Cross multiply
    1,315.41x = 1,982.17 × 1,089.39
  4. Step 4: Simplify right side
    1,315.41x = 2,159,356.18
  5. Step 5: Solve for x
    x = 2,159,356.18/1,315.41
  6. Step 6: Final answer
    x = 1,641.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.