Home / 1,524.13-2,103.31-825.51

Finding the Fourth Proportional to 1,524.13, 2,103.31 and 825.51

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Solution

The fourth proportional to 1,524.13, 2,103.31 and 825.51 is: 1,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.13 : 2,103.31 = 825.51 : x
  2. Step 2: Convert to fraction form
    1,524.13/2,103.31 = 825.51/x
  3. Step 3: Cross multiply
    1,524.13x = 2,103.31 × 825.51
  4. Step 4: Simplify right side
    1,524.13x = 1,736,303.44
  5. Step 5: Solve for x
    x = 1,736,303.44/1,524.13
  6. Step 6: Final answer
    x = 1,139.21

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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.