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Finding the Fourth Proportional to 3,347.94, 5,023.53 and 2,048.70

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Solution

The fourth proportional to 3,347.94, 5,023.53 and 2,048.70 is: 3,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.94 : 5,023.53 = 2,048.70 : x
  2. Step 2: Convert to fraction form
    3,347.94/5,023.53 = 2,048.70/x
  3. Step 3: Cross multiply
    3,347.94x = 5,023.53 × 2,048.70
  4. Step 4: Simplify right side
    3,347.94x = 10,291,705.91
  5. Step 5: Solve for x
    x = 10,291,705.91/3,347.94
  6. Step 6: Final answer
    x = 3,074.04

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