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Finding the Fourth Proportional to 1,882.99, 2,597.99 and 1,096.88

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Solution

The fourth proportional to 1,882.99, 2,597.99 and 1,096.88 is: 1,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.99 : 2,597.99 = 1,096.88 : x
  2. Step 2: Convert to fraction form
    1,882.99/2,597.99 = 1,096.88/x
  3. Step 3: Cross multiply
    1,882.99x = 2,597.99 × 1,096.88
  4. Step 4: Simplify right side
    1,882.99x = 2,849,692.51
  5. Step 5: Solve for x
    x = 2,849,692.51/1,882.99
  6. Step 6: Final answer
    x = 1,513.39

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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.