Home / 1,536.85-2,306.09-921.77

Finding the Fourth Proportional to 1,536.85, 2,306.09 and 921.77

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Solution

The fourth proportional to 1,536.85, 2,306.09 and 921.77 is: 1,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.85 : 2,306.09 = 921.77 : x
  2. Step 2: Convert to fraction form
    1,536.85/2,306.09 = 921.77/x
  3. Step 3: Cross multiply
    1,536.85x = 2,306.09 × 921.77
  4. Step 4: Simplify right side
    1,536.85x = 2,125,684.58
  5. Step 5: Solve for x
    x = 2,125,684.58/1,536.85
  6. Step 6: Final answer
    x = 1,383.14

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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.