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Finding the Fourth Proportional to 2,077.63, 3,116.44 and 538.63

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Solution

The fourth proportional to 2,077.63, 3,116.44 and 538.63 is: 807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.63 : 3,116.44 = 538.63 : x
  2. Step 2: Convert to fraction form
    2,077.63/3,116.44 = 538.63/x
  3. Step 3: Cross multiply
    2,077.63x = 3,116.44 × 538.63
  4. Step 4: Simplify right side
    2,077.63x = 1,678,608.08
  5. Step 5: Solve for x
    x = 1,678,608.08/2,077.63
  6. Step 6: Final answer
    x = 807.94

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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.