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Finding the Fourth Proportional to 4,897.69, 7,343.19 and 1,610.30

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Solution

The fourth proportional to 4,897.69, 7,343.19 and 1,610.30 is: 2,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.69 : 7,343.19 = 1,610.30 : x
  2. Step 2: Convert to fraction form
    4,897.69/7,343.19 = 1,610.30/x
  3. Step 3: Cross multiply
    4,897.69x = 7,343.19 × 1,610.30
  4. Step 4: Simplify right side
    4,897.69x = 11,824,757.21
  5. Step 5: Solve for x
    x = 11,824,757.21/4,897.69
  6. Step 6: Final answer
    x = 2,414.36

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1.5x scale

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.