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Finding the Fourth Proportional to 2,384.04, 3,290.04 and 1,452

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Solution

The fourth proportional to 2,384.04, 3,290.04 and 1,452 is: 2,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.04 : 3,290.04 = 1,452 : x
  2. Step 2: Convert to fraction form
    2,384.04/3,290.04 = 1,452/x
  3. Step 3: Cross multiply
    2,384.04x = 3,290.04 × 1,452
  4. Step 4: Simplify right side
    2,384.04x = 4,777,138.08
  5. Step 5: Solve for x
    x = 4,777,138.08/2,384.04
  6. Step 6: Final answer
    x = 2,003.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.