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Finding the Fourth Proportional to 2,655.65, 3,665.24 and 1,536.39

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Solution

The fourth proportional to 2,655.65, 3,665.24 and 1,536.39 is: 2,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.65 : 3,665.24 = 1,536.39 : x
  2. Step 2: Convert to fraction form
    2,655.65/3,665.24 = 1,536.39/x
  3. Step 3: Cross multiply
    2,655.65x = 3,665.24 × 1,536.39
  4. Step 4: Simplify right side
    2,655.65x = 5,631,230.40
  5. Step 5: Solve for x
    x = 5,631,230.40/2,655.65
  6. Step 6: Final answer
    x = 2,120.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.