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Finding the Fourth Proportional to 1,491.18, 2,055.87 and 967.02

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Solution

The fourth proportional to 1,491.18, 2,055.87 and 967.02 is: 1,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.18 : 2,055.87 = 967.02 : x
  2. Step 2: Convert to fraction form
    1,491.18/2,055.87 = 967.02/x
  3. Step 3: Cross multiply
    1,491.18x = 2,055.87 × 967.02
  4. Step 4: Simplify right side
    1,491.18x = 1,988,067.41
  5. Step 5: Solve for x
    x = 1,988,067.41/1,491.18
  6. Step 6: Final answer
    x = 1,333.22

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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.