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Finding the Fourth Proportional to 2,405.24, 3,605.64 and 865.88

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Solution

The fourth proportional to 2,405.24, 3,605.64 and 865.88 is: 1,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.24 : 3,605.64 = 865.88 : x
  2. Step 2: Convert to fraction form
    2,405.24/3,605.64 = 865.88/x
  3. Step 3: Cross multiply
    2,405.24x = 3,605.64 × 865.88
  4. Step 4: Simplify right side
    2,405.24x = 3,122,051.56
  5. Step 5: Solve for x
    x = 3,122,051.56/2,405.24
  6. Step 6: Final answer
    x = 1,298.02

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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.