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Finding the Fourth Proportional to 2,093.38, 2,888.76 and 1,504.96

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Solution

The fourth proportional to 2,093.38, 2,888.76 and 1,504.96 is: 2,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.38 : 2,888.76 = 1,504.96 : x
  2. Step 2: Convert to fraction form
    2,093.38/2,888.76 = 1,504.96/x
  3. Step 3: Cross multiply
    2,093.38x = 2,888.76 × 1,504.96
  4. Step 4: Simplify right side
    2,093.38x = 4,347,468.25
  5. Step 5: Solve for x
    x = 4,347,468.25/2,093.38
  6. Step 6: Final answer
    x = 2,076.77

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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.