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Finding the Fourth Proportional to 2,026.26, 3,039.40 and 565.40

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Solution

The fourth proportional to 2,026.26, 3,039.40 and 565.40 is: 848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.26 : 3,039.40 = 565.40 : x
  2. Step 2: Convert to fraction form
    2,026.26/3,039.40 = 565.40/x
  3. Step 3: Cross multiply
    2,026.26x = 3,039.40 × 565.40
  4. Step 4: Simplify right side
    2,026.26x = 1,718,476.76
  5. Step 5: Solve for x
    x = 1,718,476.76/2,026.26
  6. Step 6: Final answer
    x = 848.10

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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.