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Finding the Fourth Proportional to 3,494.42, 4,821.67 and 2,002.00

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Solution

The fourth proportional to 3,494.42, 4,821.67 and 2,002.00 is: 2,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.42 : 4,821.67 = 2,002.00 : x
  2. Step 2: Convert to fraction form
    3,494.42/4,821.67 = 2,002.00/x
  3. Step 3: Cross multiply
    3,494.42x = 4,821.67 × 2,002.00
  4. Step 4: Simplify right side
    3,494.42x = 9,652,966.28
  5. Step 5: Solve for x
    x = 9,652,966.28/3,494.42
  6. Step 6: Final answer
    x = 2,762.39

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1.5x scale

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.