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Finding the Fourth Proportional to 2,404.80, 3,316.86 and 1,742.76

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Solution

The fourth proportional to 2,404.80, 3,316.86 and 1,742.76 is: 2,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.80 : 3,316.86 = 1,742.76 : x
  2. Step 2: Convert to fraction form
    2,404.80/3,316.86 = 1,742.76/x
  3. Step 3: Cross multiply
    2,404.80x = 3,316.86 × 1,742.76
  4. Step 4: Simplify right side
    2,404.80x = 5,780,490.93
  5. Step 5: Solve for x
    x = 5,780,490.93/2,404.80
  6. Step 6: Final answer
    x = 2,403.73

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