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Finding the Fourth Proportional to 1,991.09, 2,987.63 and 895.22

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Solution

The fourth proportional to 1,991.09, 2,987.63 and 895.22 is: 1,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.09 : 2,987.63 = 895.22 : x
  2. Step 2: Convert to fraction form
    1,991.09/2,987.63 = 895.22/x
  3. Step 3: Cross multiply
    1,991.09x = 2,987.63 × 895.22
  4. Step 4: Simplify right side
    1,991.09x = 2,674,586.13
  5. Step 5: Solve for x
    x = 2,674,586.13/1,991.09
  6. Step 6: Final answer
    x = 1,343.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.