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Finding the Fourth Proportional to 1,730.77, 2,593.11 and 1,209.68

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Solution

The fourth proportional to 1,730.77, 2,593.11 and 1,209.68 is: 1,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.77 : 2,593.11 = 1,209.68 : x
  2. Step 2: Convert to fraction form
    1,730.77/2,593.11 = 1,209.68/x
  3. Step 3: Cross multiply
    1,730.77x = 2,593.11 × 1,209.68
  4. Step 4: Simplify right side
    1,730.77x = 3,136,849.19
  5. Step 5: Solve for x
    x = 3,136,849.19/1,730.77
  6. Step 6: Final answer
    x = 1,812.40

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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.