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Finding the Fourth Proportional to 2,309.69, 3,460.43 and 1,322.47

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Solution

The fourth proportional to 2,309.69, 3,460.43 and 1,322.47 is: 1,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.69 : 3,460.43 = 1,322.47 : x
  2. Step 2: Convert to fraction form
    2,309.69/3,460.43 = 1,322.47/x
  3. Step 3: Cross multiply
    2,309.69x = 3,460.43 × 1,322.47
  4. Step 4: Simplify right side
    2,309.69x = 4,576,297.56
  5. Step 5: Solve for x
    x = 4,576,297.56/2,309.69
  6. Step 6: Final answer
    x = 1,981.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.