Home / 1,535.12-2,301.10-597.81

Finding the Fourth Proportional to 1,535.12, 2,301.10 and 597.81

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Solution

The fourth proportional to 1,535.12, 2,301.10 and 597.81 is: 896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.12 : 2,301.10 = 597.81 : x
  2. Step 2: Convert to fraction form
    1,535.12/2,301.10 = 597.81/x
  3. Step 3: Cross multiply
    1,535.12x = 2,301.10 × 597.81
  4. Step 4: Simplify right side
    1,535.12x = 1,375,631.09
  5. Step 5: Solve for x
    x = 1,375,631.09/1,535.12
  6. Step 6: Final answer
    x = 896.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.