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Finding the Fourth Proportional to 2,399.08, 3,602.16 and 1,478.50

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Solution

The fourth proportional to 2,399.08, 3,602.16 and 1,478.50 is: 2,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.08 : 3,602.16 = 1,478.50 : x
  2. Step 2: Convert to fraction form
    2,399.08/3,602.16 = 1,478.50/x
  3. Step 3: Cross multiply
    2,399.08x = 3,602.16 × 1,478.50
  4. Step 4: Simplify right side
    2,399.08x = 5,325,793.56
  5. Step 5: Solve for x
    x = 5,325,793.56/2,399.08
  6. Step 6: Final answer
    x = 2,219.93

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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.