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Finding the Fourth Proportional to 2,701.76, 3,728.44 and 1,567.40

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Solution

The fourth proportional to 2,701.76, 3,728.44 and 1,567.40 is: 2,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.76 : 3,728.44 = 1,567.40 : x
  2. Step 2: Convert to fraction form
    2,701.76/3,728.44 = 1,567.40/x
  3. Step 3: Cross multiply
    2,701.76x = 3,728.44 × 1,567.40
  4. Step 4: Simplify right side
    2,701.76x = 5,843,956.86
  5. Step 5: Solve for x
    x = 5,843,956.86/2,701.76
  6. Step 6: Final answer
    x = 2,163.02

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Why These Related Problems?

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