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Finding the Fourth Proportional to 1,990.68, 2,746.82 and 1,106.46

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Solution

The fourth proportional to 1,990.68, 2,746.82 and 1,106.46 is: 1,526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.68 : 2,746.82 = 1,106.46 : x
  2. Step 2: Convert to fraction form
    1,990.68/2,746.82 = 1,106.46/x
  3. Step 3: Cross multiply
    1,990.68x = 2,746.82 × 1,106.46
  4. Step 4: Simplify right side
    1,990.68x = 3,039,240.92
  5. Step 5: Solve for x
    x = 3,039,240.92/1,990.68
  6. Step 6: Final answer
    x = 1,526.74

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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.