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Finding the Fourth Proportional to 2,407.42, 3,322.20 and 1,345.21

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Solution

The fourth proportional to 2,407.42, 3,322.20 and 1,345.21 is: 1,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.42 : 3,322.20 = 1,345.21 : x
  2. Step 2: Convert to fraction form
    2,407.42/3,322.20 = 1,345.21/x
  3. Step 3: Cross multiply
    2,407.42x = 3,322.20 × 1,345.21
  4. Step 4: Simplify right side
    2,407.42x = 4,469,048.36
  5. Step 5: Solve for x
    x = 4,469,048.36/2,407.42
  6. Step 6: Final answer
    x = 1,856.37

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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.