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Finding the Fourth Proportional to 1,556.94, 2,148.78 and 893.66

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Solution

The fourth proportional to 1,556.94, 2,148.78 and 893.66 is: 1,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.94 : 2,148.78 = 893.66 : x
  2. Step 2: Convert to fraction form
    1,556.94/2,148.78 = 893.66/x
  3. Step 3: Cross multiply
    1,556.94x = 2,148.78 × 893.66
  4. Step 4: Simplify right side
    1,556.94x = 1,920,278.73
  5. Step 5: Solve for x
    x = 1,920,278.73/1,556.94
  6. Step 6: Final answer
    x = 1,233.37

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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.