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Finding the Fourth Proportional to 2,296.77, 3,445.16 and 565.39

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Solution

The fourth proportional to 2,296.77, 3,445.16 and 565.39 is: 848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.77 : 3,445.16 = 565.39 : x
  2. Step 2: Convert to fraction form
    2,296.77/3,445.16 = 565.39/x
  3. Step 3: Cross multiply
    2,296.77x = 3,445.16 × 565.39
  4. Step 4: Simplify right side
    2,296.77x = 1,947,866.92
  5. Step 5: Solve for x
    x = 1,947,866.92/2,296.77
  6. Step 6: Final answer
    x = 848.09

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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.