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Finding the Fourth Proportional to 2,296.63, 3,445.01 and 565.25

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Solution

The fourth proportional to 2,296.63, 3,445.01 and 565.25 is: 847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.63 : 3,445.01 = 565.25 : x
  2. Step 2: Convert to fraction form
    2,296.63/3,445.01 = 565.25/x
  3. Step 3: Cross multiply
    2,296.63x = 3,445.01 × 565.25
  4. Step 4: Simplify right side
    2,296.63x = 1,947,291.90
  5. Step 5: Solve for x
    x = 1,947,291.90/2,296.63
  6. Step 6: Final answer
    x = 847.89

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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.