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Finding the Fourth Proportional to 1,898.41, 2,849.13 and 803.53

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Solution

The fourth proportional to 1,898.41, 2,849.13 and 803.53 is: 1,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.41 : 2,849.13 = 803.53 : x
  2. Step 2: Convert to fraction form
    1,898.41/2,849.13 = 803.53/x
  3. Step 3: Cross multiply
    1,898.41x = 2,849.13 × 803.53
  4. Step 4: Simplify right side
    1,898.41x = 2,289,365.54
  5. Step 5: Solve for x
    x = 2,289,365.54/1,898.41
  6. Step 6: Final answer
    x = 1,205.94

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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.