Home / 1,536.24-2,123.10-1,163.08

Finding the Fourth Proportional to 1,536.24, 2,123.10 and 1,163.08

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Solution

The fourth proportional to 1,536.24, 2,123.10 and 1,163.08 is: 1,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.24 : 2,123.10 = 1,163.08 : x
  2. Step 2: Convert to fraction form
    1,536.24/2,123.10 = 1,163.08/x
  3. Step 3: Cross multiply
    1,536.24x = 2,123.10 × 1,163.08
  4. Step 4: Simplify right side
    1,536.24x = 2,469,335.15
  5. Step 5: Solve for x
    x = 2,469,335.15/1,536.24
  6. Step 6: Final answer
    x = 1,607.39

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Double scale
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1.5x scale

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.