Home / 1,526.25-2,106.23-827.63

Finding the Fourth Proportional to 1,526.25, 2,106.23 and 827.63

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Solution

The fourth proportional to 1,526.25, 2,106.23 and 827.63 is: 1,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.25 : 2,106.23 = 827.63 : x
  2. Step 2: Convert to fraction form
    1,526.25/2,106.23 = 827.63/x
  3. Step 3: Cross multiply
    1,526.25x = 2,106.23 × 827.63
  4. Step 4: Simplify right side
    1,526.25x = 1,743,164.47
  5. Step 5: Solve for x
    x = 1,743,164.47/1,526.25
  6. Step 6: Final answer
    x = 1,142.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.