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Finding the Fourth Proportional to 1,901.65, 2,845.19 and 1,416.87

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Solution

The fourth proportional to 1,901.65, 2,845.19 and 1,416.87 is: 2,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.65 : 2,845.19 = 1,416.87 : x
  2. Step 2: Convert to fraction form
    1,901.65/2,845.19 = 1,416.87/x
  3. Step 3: Cross multiply
    1,901.65x = 2,845.19 × 1,416.87
  4. Step 4: Simplify right side
    1,901.65x = 4,031,243.05
  5. Step 5: Solve for x
    x = 4,031,243.05/1,901.65
  6. Step 6: Final answer
    x = 2,119.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.