Home / 1,526.60-2,106.71-827.98

Finding the Fourth Proportional to 1,526.60, 2,106.71 and 827.98

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Solution

The fourth proportional to 1,526.60, 2,106.71 and 827.98 is: 1,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.60 : 2,106.71 = 827.98 : x
  2. Step 2: Convert to fraction form
    1,526.60/2,106.71 = 827.98/x
  3. Step 3: Cross multiply
    1,526.60x = 2,106.71 × 827.98
  4. Step 4: Simplify right side
    1,526.60x = 1,744,301.14
  5. Step 5: Solve for x
    x = 1,744,301.14/1,526.60
  6. Step 6: Final answer
    x = 1,142.61

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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.