Home / 1,534.28-2,301.20-560.16

Finding the Fourth Proportional to 1,534.28, 2,301.20 and 560.16

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Solution

The fourth proportional to 1,534.28, 2,301.20 and 560.16 is: 840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.28 : 2,301.20 = 560.16 : x
  2. Step 2: Convert to fraction form
    1,534.28/2,301.20 = 560.16/x
  3. Step 3: Cross multiply
    1,534.28x = 2,301.20 × 560.16
  4. Step 4: Simplify right side
    1,534.28x = 1,289,037.39
  5. Step 5: Solve for x
    x = 1,289,037.39/1,534.28
  6. Step 6: Final answer
    x = 840.16

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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.