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Finding the Fourth Proportional to 3,301.68, 4,953.76 and 1,741.62

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Solution

The fourth proportional to 3,301.68, 4,953.76 and 1,741.62 is: 2,613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.68 : 4,953.76 = 1,741.62 : x
  2. Step 2: Convert to fraction form
    3,301.68/4,953.76 = 1,741.62/x
  3. Step 3: Cross multiply
    3,301.68x = 4,953.76 × 1,741.62
  4. Step 4: Simplify right side
    3,301.68x = 8,627,567.49
  5. Step 5: Solve for x
    x = 8,627,567.49/3,301.68
  6. Step 6: Final answer
    x = 2,613.08

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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.