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Finding the Fourth Proportional to 1,747.50, 2,411.58 and 1,127.58

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Solution

The fourth proportional to 1,747.50, 2,411.58 and 1,127.58 is: 1,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.50 : 2,411.58 = 1,127.58 : x
  2. Step 2: Convert to fraction form
    1,747.50/2,411.58 = 1,127.58/x
  3. Step 3: Cross multiply
    1,747.50x = 2,411.58 × 1,127.58
  4. Step 4: Simplify right side
    1,747.50x = 2,719,249.38
  5. Step 5: Solve for x
    x = 2,719,249.38/1,747.50
  6. Step 6: Final answer
    x = 1,556.08

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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.