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Finding the Fourth Proportional to 2,742, 4,113.04 and 690

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Solution

The fourth proportional to 2,742, 4,113.04 and 690 is: 1,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742 : 4,113.04 = 690 : x
  2. Step 2: Convert to fraction form
    2,742/4,113.04 = 690/x
  3. Step 3: Cross multiply
    2,742x = 4,113.04 × 690
  4. Step 4: Simplify right side
    2,742x = 2,837,997.60
  5. Step 5: Solve for x
    x = 2,837,997.60/2,742
  6. Step 6: Final answer
    x = 1,035.01

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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.