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Finding the Fourth Proportional to 1,352.16, 2,027.16 and 1,064.88

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Solution

The fourth proportional to 1,352.16, 2,027.16 and 1,064.88 is: 1,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.16 : 2,027.16 = 1,064.88 : x
  2. Step 2: Convert to fraction form
    1,352.16/2,027.16 = 1,064.88/x
  3. Step 3: Cross multiply
    1,352.16x = 2,027.16 × 1,064.88
  4. Step 4: Simplify right side
    1,352.16x = 2,158,682.14
  5. Step 5: Solve for x
    x = 2,158,682.14/1,352.16
  6. Step 6: Final answer
    x = 1,596.47

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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.