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Finding the Fourth Proportional to 2,407.26, 3,322.02 and 1,359.30

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Solution

The fourth proportional to 2,407.26, 3,322.02 and 1,359.30 is: 1,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.26 : 3,322.02 = 1,359.30 : x
  2. Step 2: Convert to fraction form
    2,407.26/3,322.02 = 1,359.30/x
  3. Step 3: Cross multiply
    2,407.26x = 3,322.02 × 1,359.30
  4. Step 4: Simplify right side
    2,407.26x = 4,515,621.79
  5. Step 5: Solve for x
    x = 4,515,621.79/2,407.26
  6. Step 6: Final answer
    x = 1,875.83

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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.