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Finding the Fourth Proportional to 1,666.56, 2,300.82 and 1,107.78

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Solution

The fourth proportional to 1,666.56, 2,300.82 and 1,107.78 is: 1,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.56 : 2,300.82 = 1,107.78 : x
  2. Step 2: Convert to fraction form
    1,666.56/2,300.82 = 1,107.78/x
  3. Step 3: Cross multiply
    1,666.56x = 2,300.82 × 1,107.78
  4. Step 4: Simplify right side
    1,666.56x = 2,548,802.38
  5. Step 5: Solve for x
    x = 2,548,802.38/1,666.56
  6. Step 6: Final answer
    x = 1,529.38

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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.