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Finding the Fourth Proportional to 2,262.52, 3,397.38 and 1,533.88

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Solution

The fourth proportional to 2,262.52, 3,397.38 and 1,533.88 is: 2,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.52 : 3,397.38 = 1,533.88 : x
  2. Step 2: Convert to fraction form
    2,262.52/3,397.38 = 1,533.88/x
  3. Step 3: Cross multiply
    2,262.52x = 3,397.38 × 1,533.88
  4. Step 4: Simplify right side
    2,262.52x = 5,211,173.23
  5. Step 5: Solve for x
    x = 5,211,173.23/2,262.52
  6. Step 6: Final answer
    x = 2,303.26

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Why These Related Problems?

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