Home / 1,526.49-2,106.56-827.87

Finding the Fourth Proportional to 1,526.49, 2,106.56 and 827.87

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Solution

The fourth proportional to 1,526.49, 2,106.56 and 827.87 is: 1,142.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.49 : 2,106.56 = 827.87 : x
  2. Step 2: Convert to fraction form
    1,526.49/2,106.56 = 827.87/x
  3. Step 3: Cross multiply
    1,526.49x = 2,106.56 × 827.87
  4. Step 4: Simplify right side
    1,526.49x = 1,743,953.31
  5. Step 5: Solve for x
    x = 1,743,953.31/1,526.49
  6. Step 6: Final answer
    x = 1,142.46

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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.