Home / 1,591.36-2,382.98-942.56

Finding the Fourth Proportional to 1,591.36, 2,382.98 and 942.56

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Solution

The fourth proportional to 1,591.36, 2,382.98 and 942.56 is: 1,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.36 : 2,382.98 = 942.56 : x
  2. Step 2: Convert to fraction form
    1,591.36/2,382.98 = 942.56/x
  3. Step 3: Cross multiply
    1,591.36x = 2,382.98 × 942.56
  4. Step 4: Simplify right side
    1,591.36x = 2,246,101.63
  5. Step 5: Solve for x
    x = 2,246,101.63/1,591.36
  6. Step 6: Final answer
    x = 1,411.44

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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.