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Finding the Fourth Proportional to 4,528.88, 6,793.32 and 1,607

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Solution

The fourth proportional to 4,528.88, 6,793.32 and 1,607 is: 2,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528.88 : 6,793.32 = 1,607 : x
  2. Step 2: Convert to fraction form
    4,528.88/6,793.32 = 1,607/x
  3. Step 3: Cross multiply
    4,528.88x = 6,793.32 × 1,607
  4. Step 4: Simplify right side
    4,528.88x = 10,916,865.24
  5. Step 5: Solve for x
    x = 10,916,865.24/4,528.88
  6. Step 6: Final answer
    x = 2,410.50

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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.