Home / 1,531.70-2,113.86-942.44

Finding the Fourth Proportional to 1,531.70, 2,113.86 and 942.44

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Solution

The fourth proportional to 1,531.70, 2,113.86 and 942.44 is: 1,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.70 : 2,113.86 = 942.44 : x
  2. Step 2: Convert to fraction form
    1,531.70/2,113.86 = 942.44/x
  3. Step 3: Cross multiply
    1,531.70x = 2,113.86 × 942.44
  4. Step 4: Simplify right side
    1,531.70x = 1,992,186.22
  5. Step 5: Solve for x
    x = 1,992,186.22/1,531.70
  6. Step 6: Final answer
    x = 1,300.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.