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Finding the Fourth Proportional to 1,892, 2,610.96 and 1,106.12

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Solution

The fourth proportional to 1,892, 2,610.96 and 1,106.12 is: 1,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892 : 2,610.96 = 1,106.12 : x
  2. Step 2: Convert to fraction form
    1,892/2,610.96 = 1,106.12/x
  3. Step 3: Cross multiply
    1,892x = 2,610.96 × 1,106.12
  4. Step 4: Simplify right side
    1,892x = 2,888,035.08
  5. Step 5: Solve for x
    x = 2,888,035.08/1,892
  6. Step 6: Final answer
    x = 1,526.45

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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.