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Finding the Fourth Proportional to 2,296.56, 3,458.29 and 1,651.80

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Solution

The fourth proportional to 2,296.56, 3,458.29 and 1,651.80 is: 2,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.56 : 3,458.29 = 1,651.80 : x
  2. Step 2: Convert to fraction form
    2,296.56/3,458.29 = 1,651.80/x
  3. Step 3: Cross multiply
    2,296.56x = 3,458.29 × 1,651.80
  4. Step 4: Simplify right side
    2,296.56x = 5,712,403.42
  5. Step 5: Solve for x
    x = 5,712,403.42/2,296.56
  6. Step 6: Final answer
    x = 2,487.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.