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Finding the Fourth Proportional to 4,655.28, 6,981.96 and 1,367.68

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Solution

The fourth proportional to 4,655.28, 6,981.96 and 1,367.68 is: 2,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.28 : 6,981.96 = 1,367.68 : x
  2. Step 2: Convert to fraction form
    4,655.28/6,981.96 = 1,367.68/x
  3. Step 3: Cross multiply
    4,655.28x = 6,981.96 × 1,367.68
  4. Step 4: Simplify right side
    4,655.28x = 9,549,087.05
  5. Step 5: Solve for x
    x = 9,549,087.05/4,655.28
  6. Step 6: Final answer
    x = 2,051.24

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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.