Home / 1,534.23-2,301.33-560.10

Finding the Fourth Proportional to 1,534.23, 2,301.33 and 560.10

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Solution

The fourth proportional to 1,534.23, 2,301.33 and 560.10 is: 840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.23 : 2,301.33 = 560.10 : x
  2. Step 2: Convert to fraction form
    1,534.23/2,301.33 = 560.10/x
  3. Step 3: Cross multiply
    1,534.23x = 2,301.33 × 560.10
  4. Step 4: Simplify right side
    1,534.23x = 1,288,974.93
  5. Step 5: Solve for x
    x = 1,288,974.93/1,534.23
  6. Step 6: Final answer
    x = 840.14

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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.