Home / 1,349.32-2,023.70-362.14

Finding the Fourth Proportional to 1,349.32, 2,023.70 and 362.14

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Solution

The fourth proportional to 1,349.32, 2,023.70 and 362.14 is: 543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.32 : 2,023.70 = 362.14 : x
  2. Step 2: Convert to fraction form
    1,349.32/2,023.70 = 362.14/x
  3. Step 3: Cross multiply
    1,349.32x = 2,023.70 × 362.14
  4. Step 4: Simplify right side
    1,349.32x = 732,862.72
  5. Step 5: Solve for x
    x = 732,862.72/1,349.32
  6. Step 6: Final answer
    x = 543.13

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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.