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Finding the Fourth Proportional to 3,682.84, 5,520.98 and 1,342.40

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Solution

The fourth proportional to 3,682.84, 5,520.98 and 1,342.40 is: 2,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.84 : 5,520.98 = 1,342.40 : x
  2. Step 2: Convert to fraction form
    3,682.84/5,520.98 = 1,342.40/x
  3. Step 3: Cross multiply
    3,682.84x = 5,520.98 × 1,342.40
  4. Step 4: Simplify right side
    3,682.84x = 7,411,356.84
  5. Step 5: Solve for x
    x = 7,411,356.84/3,682.84
  6. Step 6: Final answer
    x = 2,012.41

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1.5x scale

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.