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Finding the Fourth Proportional to 1,443.22, 2,164.81 and 956.15

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Solution

The fourth proportional to 1,443.22, 2,164.81 and 956.15 is: 1,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.22 : 2,164.81 = 956.15 : x
  2. Step 2: Convert to fraction form
    1,443.22/2,164.81 = 956.15/x
  3. Step 3: Cross multiply
    1,443.22x = 2,164.81 × 956.15
  4. Step 4: Simplify right side
    1,443.22x = 2,069,883.08
  5. Step 5: Solve for x
    x = 2,069,883.08/1,443.22
  6. Step 6: Final answer
    x = 1,434.21

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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.