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Finding the Fourth Proportional to 2,533.91, 3,496.87 and 1,415.12

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Solution

The fourth proportional to 2,533.91, 3,496.87 and 1,415.12 is: 1,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.91 : 3,496.87 = 1,415.12 : x
  2. Step 2: Convert to fraction form
    2,533.91/3,496.87 = 1,415.12/x
  3. Step 3: Cross multiply
    2,533.91x = 3,496.87 × 1,415.12
  4. Step 4: Simplify right side
    2,533.91x = 4,948,494.63
  5. Step 5: Solve for x
    x = 4,948,494.63/2,533.91
  6. Step 6: Final answer
    x = 1,952.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.