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Finding the Fourth Proportional to 2,092.34, 2,886.23 and 1,207.98

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Solution

The fourth proportional to 2,092.34, 2,886.23 and 1,207.98 is: 1,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.34 : 2,886.23 = 1,207.98 : x
  2. Step 2: Convert to fraction form
    2,092.34/2,886.23 = 1,207.98/x
  3. Step 3: Cross multiply
    2,092.34x = 2,886.23 × 1,207.98
  4. Step 4: Simplify right side
    2,092.34x = 3,486,511.14
  5. Step 5: Solve for x
    x = 3,486,511.14/2,092.34
  6. Step 6: Final answer
    x = 1,666.32

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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.