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Finding the Fourth Proportional to 2,365.39, 3,262.14 and 1,526.13

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Solution

The fourth proportional to 2,365.39, 3,262.14 and 1,526.13 is: 2,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.39 : 3,262.14 = 1,526.13 : x
  2. Step 2: Convert to fraction form
    2,365.39/3,262.14 = 1,526.13/x
  3. Step 3: Cross multiply
    2,365.39x = 3,262.14 × 1,526.13
  4. Step 4: Simplify right side
    2,365.39x = 4,978,449.72
  5. Step 5: Solve for x
    x = 4,978,449.72/2,365.39
  6. Step 6: Final answer
    x = 2,104.71

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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.