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Finding the Fourth Proportional to 2,045.14, 3,062.81 and 1,263.02

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Solution

The fourth proportional to 2,045.14, 3,062.81 and 1,263.02 is: 1,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.14 : 3,062.81 = 1,263.02 : x
  2. Step 2: Convert to fraction form
    2,045.14/3,062.81 = 1,263.02/x
  3. Step 3: Cross multiply
    2,045.14x = 3,062.81 × 1,263.02
  4. Step 4: Simplify right side
    2,045.14x = 3,868,378.13
  5. Step 5: Solve for x
    x = 3,868,378.13/2,045.14
  6. Step 6: Final answer
    x = 1,891.50

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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.