Home / 1,496.16-2,241.42-947.20

Finding the Fourth Proportional to 1,496.16, 2,241.42 and 947.20

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Solution

The fourth proportional to 1,496.16, 2,241.42 and 947.20 is: 1,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.16 : 2,241.42 = 947.20 : x
  2. Step 2: Convert to fraction form
    1,496.16/2,241.42 = 947.20/x
  3. Step 3: Cross multiply
    1,496.16x = 2,241.42 × 947.20
  4. Step 4: Simplify right side
    1,496.16x = 2,123,073.02
  5. Step 5: Solve for x
    x = 2,123,073.02/1,496.16
  6. Step 6: Final answer
    x = 1,419.01

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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.