Home / 1,536.84-2,306.10-1,265.28

Finding the Fourth Proportional to 1,536.84, 2,306.10 and 1,265.28

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Solution

The fourth proportional to 1,536.84, 2,306.10 and 1,265.28 is: 1,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.84 : 2,306.10 = 1,265.28 : x
  2. Step 2: Convert to fraction form
    1,536.84/2,306.10 = 1,265.28/x
  3. Step 3: Cross multiply
    1,536.84x = 2,306.10 × 1,265.28
  4. Step 4: Simplify right side
    1,536.84x = 2,917,862.21
  5. Step 5: Solve for x
    x = 2,917,862.21/1,536.84
  6. Step 6: Final answer
    x = 1,898.61

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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.