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Finding the Fourth Proportional to 3,159.94, 4,360.92 and 2,095.84

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Solution

The fourth proportional to 3,159.94, 4,360.92 and 2,095.84 is: 2,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.94 : 4,360.92 = 2,095.84 : x
  2. Step 2: Convert to fraction form
    3,159.94/4,360.92 = 2,095.84/x
  3. Step 3: Cross multiply
    3,159.94x = 4,360.92 × 2,095.84
  4. Step 4: Simplify right side
    3,159.94x = 9,139,790.57
  5. Step 5: Solve for x
    x = 9,139,790.57/3,159.94
  6. Step 6: Final answer
    x = 2,892.39

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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.