Home / 1,526.39-2,106.42-827.77

Finding the Fourth Proportional to 1,526.39, 2,106.42 and 827.77

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Solution

The fourth proportional to 1,526.39, 2,106.42 and 827.77 is: 1,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.39 : 2,106.42 = 827.77 : x
  2. Step 2: Convert to fraction form
    1,526.39/2,106.42 = 827.77/x
  3. Step 3: Cross multiply
    1,526.39x = 2,106.42 × 827.77
  4. Step 4: Simplify right side
    1,526.39x = 1,743,629.12
  5. Step 5: Solve for x
    x = 1,743,629.12/1,526.39
  6. Step 6: Final answer
    x = 1,142.32

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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.