Home / 1,534.43-2,301.60-380.18

Finding the Fourth Proportional to 1,534.43, 2,301.60 and 380.18

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Solution

The fourth proportional to 1,534.43, 2,301.60 and 380.18 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.43 : 2,301.60 = 380.18 : x
  2. Step 2: Convert to fraction form
    1,534.43/2,301.60 = 380.18/x
  3. Step 3: Cross multiply
    1,534.43x = 2,301.60 × 380.18
  4. Step 4: Simplify right side
    1,534.43x = 875,022.29
  5. Step 5: Solve for x
    x = 875,022.29/1,534.43
  6. Step 6: Final answer
    x = 570.26

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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.