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Finding the Fourth Proportional to 1,897.83, 2,850 and 1,609.47

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Solution

The fourth proportional to 1,897.83, 2,850 and 1,609.47 is: 2,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.83 : 2,850 = 1,609.47 : x
  2. Step 2: Convert to fraction form
    1,897.83/2,850 = 1,609.47/x
  3. Step 3: Cross multiply
    1,897.83x = 2,850 × 1,609.47
  4. Step 4: Simplify right side
    1,897.83x = 4,586,989.50
  5. Step 5: Solve for x
    x = 4,586,989.50/1,897.83
  6. Step 6: Final answer
    x = 2,416.97

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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.