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Finding the Fourth Proportional to 1,882.68, 2,598.24 and 1,096.56

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Solution

The fourth proportional to 1,882.68, 2,598.24 and 1,096.56 is: 1,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.68 : 2,598.24 = 1,096.56 : x
  2. Step 2: Convert to fraction form
    1,882.68/2,598.24 = 1,096.56/x
  3. Step 3: Cross multiply
    1,882.68x = 2,598.24 × 1,096.56
  4. Step 4: Simplify right side
    1,882.68x = 2,849,126.05
  5. Step 5: Solve for x
    x = 2,849,126.05/1,882.68
  6. Step 6: Final answer
    x = 1,513.34

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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.