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Finding the Fourth Proportional to 2,913.53, 4,019.46 and 2,029.84

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Solution

The fourth proportional to 2,913.53, 4,019.46 and 2,029.84 is: 2,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.53 : 4,019.46 = 2,029.84 : x
  2. Step 2: Convert to fraction form
    2,913.53/4,019.46 = 2,029.84/x
  3. Step 3: Cross multiply
    2,913.53x = 4,019.46 × 2,029.84
  4. Step 4: Simplify right side
    2,913.53x = 8,158,882.76
  5. Step 5: Solve for x
    x = 8,158,882.76/2,913.53
  6. Step 6: Final answer
    x = 2,800.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.