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Finding the Fourth Proportional to 2,695.96, 4,041.18 and 1,524.28

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Solution

The fourth proportional to 2,695.96, 4,041.18 and 1,524.28 is: 2,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.96 : 4,041.18 = 1,524.28 : x
  2. Step 2: Convert to fraction form
    2,695.96/4,041.18 = 1,524.28/x
  3. Step 3: Cross multiply
    2,695.96x = 4,041.18 × 1,524.28
  4. Step 4: Simplify right side
    2,695.96x = 6,159,889.85
  5. Step 5: Solve for x
    x = 6,159,889.85/2,695.96
  6. Step 6: Final answer
    x = 2,284.86

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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.