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Finding the Fourth Proportional to 1,559.19, 2,150.81 and 990.98

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Solution

The fourth proportional to 1,559.19, 2,150.81 and 990.98 is: 1,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.19 : 2,150.81 = 990.98 : x
  2. Step 2: Convert to fraction form
    1,559.19/2,150.81 = 990.98/x
  3. Step 3: Cross multiply
    1,559.19x = 2,150.81 × 990.98
  4. Step 4: Simplify right side
    1,559.19x = 2,131,409.69
  5. Step 5: Solve for x
    x = 2,131,409.69/1,559.19
  6. Step 6: Final answer
    x = 1,367.00

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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.