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Finding the Fourth Proportional to 1,989.15, 2,746.26 and 1,282.22

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Solution

The fourth proportional to 1,989.15, 2,746.26 and 1,282.22 is: 1,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.15 : 2,746.26 = 1,282.22 : x
  2. Step 2: Convert to fraction form
    1,989.15/2,746.26 = 1,282.22/x
  3. Step 3: Cross multiply
    1,989.15x = 2,746.26 × 1,282.22
  4. Step 4: Simplify right side
    1,989.15x = 3,521,298.97
  5. Step 5: Solve for x
    x = 3,521,298.97/1,989.15
  6. Step 6: Final answer
    x = 1,770.25

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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.