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Finding the Fourth Proportional to 2,111.80, 2,913.24 and 1,669

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Solution

The fourth proportional to 2,111.80, 2,913.24 and 1,669 is: 2,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.80 : 2,913.24 = 1,669 : x
  2. Step 2: Convert to fraction form
    2,111.80/2,913.24 = 1,669/x
  3. Step 3: Cross multiply
    2,111.80x = 2,913.24 × 1,669
  4. Step 4: Simplify right side
    2,111.80x = 4,862,197.56
  5. Step 5: Solve for x
    x = 4,862,197.56/2,111.80
  6. Step 6: Final answer
    x = 2,302.39

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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.