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Finding the Fourth Proportional to 1,477.78, 2,039.11 and 880.09

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Solution

The fourth proportional to 1,477.78, 2,039.11 and 880.09 is: 1,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.78 : 2,039.11 = 880.09 : x
  2. Step 2: Convert to fraction form
    1,477.78/2,039.11 = 880.09/x
  3. Step 3: Cross multiply
    1,477.78x = 2,039.11 × 880.09
  4. Step 4: Simplify right side
    1,477.78x = 1,794,593.02
  5. Step 5: Solve for x
    x = 1,794,593.02/1,477.78
  6. Step 6: Final answer
    x = 1,214.39

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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.