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Finding the Fourth Proportional to 2,893.16, 3,992.56 and 1,566.87

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Solution

The fourth proportional to 2,893.16, 3,992.56 and 1,566.87 is: 2,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.16 : 3,992.56 = 1,566.87 : x
  2. Step 2: Convert to fraction form
    2,893.16/3,992.56 = 1,566.87/x
  3. Step 3: Cross multiply
    2,893.16x = 3,992.56 × 1,566.87
  4. Step 4: Simplify right side
    2,893.16x = 6,255,818.57
  5. Step 5: Solve for x
    x = 6,255,818.57/2,893.16
  6. Step 6: Final answer
    x = 2,162.28

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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.