Home / 1,521.09-2,281.77-942.75

Finding the Fourth Proportional to 1,521.09, 2,281.77 and 942.75

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Solution

The fourth proportional to 1,521.09, 2,281.77 and 942.75 is: 1,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.09 : 2,281.77 = 942.75 : x
  2. Step 2: Convert to fraction form
    1,521.09/2,281.77 = 942.75/x
  3. Step 3: Cross multiply
    1,521.09x = 2,281.77 × 942.75
  4. Step 4: Simplify right side
    1,521.09x = 2,151,138.67
  5. Step 5: Solve for x
    x = 2,151,138.67/1,521.09
  6. Step 6: Final answer
    x = 1,414.21

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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.