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Finding the Fourth Proportional to 1,990.92, 2,746.86 and 1,140.06

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Solution

The fourth proportional to 1,990.92, 2,746.86 and 1,140.06 is: 1,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.92 : 2,746.86 = 1,140.06 : x
  2. Step 2: Convert to fraction form
    1,990.92/2,746.86 = 1,140.06/x
  3. Step 3: Cross multiply
    1,990.92x = 2,746.86 × 1,140.06
  4. Step 4: Simplify right side
    1,990.92x = 3,131,585.21
  5. Step 5: Solve for x
    x = 3,131,585.21/1,990.92
  6. Step 6: Final answer
    x = 1,572.93

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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.