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Finding the Fourth Proportional to 2,026.63, 3,039.95 and 565.91

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Solution

The fourth proportional to 2,026.63, 3,039.95 and 565.91 is: 848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.63 : 3,039.95 = 565.91 : x
  2. Step 2: Convert to fraction form
    2,026.63/3,039.95 = 565.91/x
  3. Step 3: Cross multiply
    2,026.63x = 3,039.95 × 565.91
  4. Step 4: Simplify right side
    2,026.63x = 1,720,338.10
  5. Step 5: Solve for x
    x = 1,720,338.10/2,026.63
  6. Step 6: Final answer
    x = 848.87

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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.