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Finding the Fourth Proportional to 2,690.34, 4,035.63 and 841.49

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Solution

The fourth proportional to 2,690.34, 4,035.63 and 841.49 is: 1,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.34 : 4,035.63 = 841.49 : x
  2. Step 2: Convert to fraction form
    2,690.34/4,035.63 = 841.49/x
  3. Step 3: Cross multiply
    2,690.34x = 4,035.63 × 841.49
  4. Step 4: Simplify right side
    2,690.34x = 3,395,922.11
  5. Step 5: Solve for x
    x = 3,395,922.11/2,690.34
  6. Step 6: Final answer
    x = 1,262.27

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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.