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Finding the Fourth Proportional to 2,054, 3,081.04 and 515.04

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Solution

The fourth proportional to 2,054, 3,081.04 and 515.04 is: 772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054 : 3,081.04 = 515.04 : x
  2. Step 2: Convert to fraction form
    2,054/3,081.04 = 515.04/x
  3. Step 3: Cross multiply
    2,054x = 3,081.04 × 515.04
  4. Step 4: Simplify right side
    2,054x = 1,586,858.84
  5. Step 5: Solve for x
    x = 1,586,858.84/2,054
  6. Step 6: Final answer
    x = 772.57

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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.