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Finding the Fourth Proportional to 1,558.97, 2,151.57 and 984.11

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Solution

The fourth proportional to 1,558.97, 2,151.57 and 984.11 is: 1,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.97 : 2,151.57 = 984.11 : x
  2. Step 2: Convert to fraction form
    1,558.97/2,151.57 = 984.11/x
  3. Step 3: Cross multiply
    1,558.97x = 2,151.57 × 984.11
  4. Step 4: Simplify right side
    1,558.97x = 2,117,370.79
  5. Step 5: Solve for x
    x = 2,117,370.79/1,558.97
  6. Step 6: Final answer
    x = 1,358.19

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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.