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Finding the Fourth Proportional to 1,415.08, 2,118.22 and 764.20

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Solution

The fourth proportional to 1,415.08, 2,118.22 and 764.20 is: 1,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.08 : 2,118.22 = 764.20 : x
  2. Step 2: Convert to fraction form
    1,415.08/2,118.22 = 764.20/x
  3. Step 3: Cross multiply
    1,415.08x = 2,118.22 × 764.20
  4. Step 4: Simplify right side
    1,415.08x = 1,618,743.72
  5. Step 5: Solve for x
    x = 1,618,743.72/1,415.08
  6. Step 6: Final answer
    x = 1,143.92

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