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Finding the Fourth Proportional to 2,225.64, 3,340.62 and 1,613.28

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Solution

The fourth proportional to 2,225.64, 3,340.62 and 1,613.28 is: 2,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.64 : 3,340.62 = 1,613.28 : x
  2. Step 2: Convert to fraction form
    2,225.64/3,340.62 = 1,613.28/x
  3. Step 3: Cross multiply
    2,225.64x = 3,340.62 × 1,613.28
  4. Step 4: Simplify right side
    2,225.64x = 5,389,355.43
  5. Step 5: Solve for x
    x = 5,389,355.43/2,225.64
  6. Step 6: Final answer
    x = 2,421.49

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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.