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Finding the Fourth Proportional to 1,892.76, 2,837.54 and 722.14

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Solution

The fourth proportional to 1,892.76, 2,837.54 and 722.14 is: 1,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.76 : 2,837.54 = 722.14 : x
  2. Step 2: Convert to fraction form
    1,892.76/2,837.54 = 722.14/x
  3. Step 3: Cross multiply
    1,892.76x = 2,837.54 × 722.14
  4. Step 4: Simplify right side
    1,892.76x = 2,049,101.14
  5. Step 5: Solve for x
    x = 2,049,101.14/1,892.76
  6. Step 6: Final answer
    x = 1,082.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.