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Finding the Fourth Proportional to 1,990.47, 2,746.83 and 1,106.27

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Solution

The fourth proportional to 1,990.47, 2,746.83 and 1,106.27 is: 1,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.47 : 2,746.83 = 1,106.27 : x
  2. Step 2: Convert to fraction form
    1,990.47/2,746.83 = 1,106.27/x
  3. Step 3: Cross multiply
    1,990.47x = 2,746.83 × 1,106.27
  4. Step 4: Simplify right side
    1,990.47x = 3,038,745.57
  5. Step 5: Solve for x
    x = 3,038,745.57/1,990.47
  6. Step 6: Final answer
    x = 1,526.64

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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.