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Finding the Fourth Proportional to 2,478.17, 3,709.51 and 1,599.50

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Solution

The fourth proportional to 2,478.17, 3,709.51 and 1,599.50 is: 2,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.17 : 3,709.51 = 1,599.50 : x
  2. Step 2: Convert to fraction form
    2,478.17/3,709.51 = 1,599.50/x
  3. Step 3: Cross multiply
    2,478.17x = 3,709.51 × 1,599.50
  4. Step 4: Simplify right side
    2,478.17x = 5,933,353.25
  5. Step 5: Solve for x
    x = 5,933,353.25/2,478.17
  6. Step 6: Final answer
    x = 2,394.25

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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.