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Finding the Fourth Proportional to 2,913.54, 4,019.76 and 2,029.84

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Solution

The fourth proportional to 2,913.54, 4,019.76 and 2,029.84 is: 2,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.54 : 4,019.76 = 2,029.84 : x
  2. Step 2: Convert to fraction form
    2,913.54/4,019.76 = 2,029.84/x
  3. Step 3: Cross multiply
    2,913.54x = 4,019.76 × 2,029.84
  4. Step 4: Simplify right side
    2,913.54x = 8,159,469.64
  5. Step 5: Solve for x
    x = 8,159,469.64/2,913.54
  6. Step 6: Final answer
    x = 2,800.53

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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.