Home / 1,531.54-2,297.22-435.76

Finding the Fourth Proportional to 1,531.54, 2,297.22 and 435.76

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Solution

The fourth proportional to 1,531.54, 2,297.22 and 435.76 is: 653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.54 : 2,297.22 = 435.76 : x
  2. Step 2: Convert to fraction form
    1,531.54/2,297.22 = 435.76/x
  3. Step 3: Cross multiply
    1,531.54x = 2,297.22 × 435.76
  4. Step 4: Simplify right side
    1,531.54x = 1,001,036.59
  5. Step 5: Solve for x
    x = 1,001,036.59/1,531.54
  6. Step 6: Final answer
    x = 653.61

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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.