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Finding the Fourth Proportional to 2,897.78, 4,347.44 and 1,665.62

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Solution

The fourth proportional to 2,897.78, 4,347.44 and 1,665.62 is: 2,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.78 : 4,347.44 = 1,665.62 : x
  2. Step 2: Convert to fraction form
    2,897.78/4,347.44 = 1,665.62/x
  3. Step 3: Cross multiply
    2,897.78x = 4,347.44 × 1,665.62
  4. Step 4: Simplify right side
    2,897.78x = 7,241,183.01
  5. Step 5: Solve for x
    x = 7,241,183.01/2,897.78
  6. Step 6: Final answer
    x = 2,498.87

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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.