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Finding the Fourth Proportional to 3,439.76, 4,748.08 and 2,042.50

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Solution

The fourth proportional to 3,439.76, 4,748.08 and 2,042.50 is: 2,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.76 : 4,748.08 = 2,042.50 : x
  2. Step 2: Convert to fraction form
    3,439.76/4,748.08 = 2,042.50/x
  3. Step 3: Cross multiply
    3,439.76x = 4,748.08 × 2,042.50
  4. Step 4: Simplify right side
    3,439.76x = 9,697,953.40
  5. Step 5: Solve for x
    x = 9,697,953.40/3,439.76
  6. Step 6: Final answer
    x = 2,819.37

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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.