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Finding the Fourth Proportional to 2,167.39, 2,994.57 and 2,085.34

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Solution

The fourth proportional to 2,167.39, 2,994.57 and 2,085.34 is: 2,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.39 : 2,994.57 = 2,085.34 : x
  2. Step 2: Convert to fraction form
    2,167.39/2,994.57 = 2,085.34/x
  3. Step 3: Cross multiply
    2,167.39x = 2,994.57 × 2,085.34
  4. Step 4: Simplify right side
    2,167.39x = 6,244,696.60
  5. Step 5: Solve for x
    x = 6,244,696.60/2,167.39
  6. Step 6: Final answer
    x = 2,881.21

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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.