Home / 1,531.89-2,296.40-801.95

Finding the Fourth Proportional to 1,531.89, 2,296.40 and 801.95

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Solution

The fourth proportional to 1,531.89, 2,296.40 and 801.95 is: 1,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.89 : 2,296.40 = 801.95 : x
  2. Step 2: Convert to fraction form
    1,531.89/2,296.40 = 801.95/x
  3. Step 3: Cross multiply
    1,531.89x = 2,296.40 × 801.95
  4. Step 4: Simplify right side
    1,531.89x = 1,841,582.49
  5. Step 5: Solve for x
    x = 1,841,582.49/1,531.89
  6. Step 6: Final answer
    x = 1,202.16

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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.