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Finding the Fourth Proportional to 1,742.87, 2,613.53 and 817.68

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Solution

The fourth proportional to 1,742.87, 2,613.53 and 817.68 is: 1,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.87 : 2,613.53 = 817.68 : x
  2. Step 2: Convert to fraction form
    1,742.87/2,613.53 = 817.68/x
  3. Step 3: Cross multiply
    1,742.87x = 2,613.53 × 817.68
  4. Step 4: Simplify right side
    1,742.87x = 2,137,031.21
  5. Step 5: Solve for x
    x = 2,137,031.21/1,742.87
  6. Step 6: Final answer
    x = 1,226.16

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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.