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Finding the Fourth Proportional to 3,120.96, 4,681.44 and 1,367.68

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Solution

The fourth proportional to 3,120.96, 4,681.44 and 1,367.68 is: 2,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.96 : 4,681.44 = 1,367.68 : x
  2. Step 2: Convert to fraction form
    3,120.96/4,681.44 = 1,367.68/x
  3. Step 3: Cross multiply
    3,120.96x = 4,681.44 × 1,367.68
  4. Step 4: Simplify right side
    3,120.96x = 6,402,711.86
  5. Step 5: Solve for x
    x = 6,402,711.86/3,120.96
  6. Step 6: Final answer
    x = 2,051.52

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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.