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Finding the Fourth Proportional to 2,325.26, 3,208.02 and 1,559

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Solution

The fourth proportional to 2,325.26, 3,208.02 and 1,559 is: 2,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.26 : 3,208.02 = 1,559 : x
  2. Step 2: Convert to fraction form
    2,325.26/3,208.02 = 1,559/x
  3. Step 3: Cross multiply
    2,325.26x = 3,208.02 × 1,559
  4. Step 4: Simplify right side
    2,325.26x = 5,001,303.18
  5. Step 5: Solve for x
    x = 5,001,303.18/2,325.26
  6. Step 6: Final answer
    x = 2,150.86

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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.