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Finding the Fourth Proportional to 2,929.77, 4,394.66 and 2,538.54

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Solution

The fourth proportional to 2,929.77, 4,394.66 and 2,538.54 is: 3,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.77 : 4,394.66 = 2,538.54 : x
  2. Step 2: Convert to fraction form
    2,929.77/4,394.66 = 2,538.54/x
  3. Step 3: Cross multiply
    2,929.77x = 4,394.66 × 2,538.54
  4. Step 4: Simplify right side
    2,929.77x = 11,156,007.50
  5. Step 5: Solve for x
    x = 11,156,007.50/2,929.77
  6. Step 6: Final answer
    x = 3,807.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.