Home / 1,531.80-2,297.34-557.34

Finding the Fourth Proportional to 1,531.80, 2,297.34 and 557.34

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Solution

The fourth proportional to 1,531.80, 2,297.34 and 557.34 is: 835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.80 : 2,297.34 = 557.34 : x
  2. Step 2: Convert to fraction form
    1,531.80/2,297.34 = 557.34/x
  3. Step 3: Cross multiply
    1,531.80x = 2,297.34 × 557.34
  4. Step 4: Simplify right side
    1,531.80x = 1,280,399.48
  5. Step 5: Solve for x
    x = 1,280,399.48/1,531.80
  6. Step 6: Final answer
    x = 835.88

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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.