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Finding the Fourth Proportional to 4,598, 6,897.84 and 1,478.48

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Solution

The fourth proportional to 4,598, 6,897.84 and 1,478.48 is: 2,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598 : 6,897.84 = 1,478.48 : x
  2. Step 2: Convert to fraction form
    4,598/6,897.84 = 1,478.48/x
  3. Step 3: Cross multiply
    4,598x = 6,897.84 × 1,478.48
  4. Step 4: Simplify right side
    4,598x = 10,198,318.48
  5. Step 5: Solve for x
    x = 10,198,318.48/4,598
  6. Step 6: Final answer
    x = 2,217.99

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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.