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Finding the Fourth Proportional to 1,909.67, 2,849.85 and 1,898.72

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Solution

The fourth proportional to 1,909.67, 2,849.85 and 1,898.72 is: 2,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.67 : 2,849.85 = 1,898.72 : x
  2. Step 2: Convert to fraction form
    1,909.67/2,849.85 = 1,898.72/x
  3. Step 3: Cross multiply
    1,909.67x = 2,849.85 × 1,898.72
  4. Step 4: Simplify right side
    1,909.67x = 5,411,057.70
  5. Step 5: Solve for x
    x = 5,411,057.70/1,909.67
  6. Step 6: Final answer
    x = 2,833.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.