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Finding the Fourth Proportional to 3,494.55, 4,821.93 and 2,002.18

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Solution

The fourth proportional to 3,494.55, 4,821.93 and 2,002.18 is: 2,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.55 : 4,821.93 = 2,002.18 : x
  2. Step 2: Convert to fraction form
    3,494.55/4,821.93 = 2,002.18/x
  3. Step 3: Cross multiply
    3,494.55x = 4,821.93 × 2,002.18
  4. Step 4: Simplify right side
    3,494.55x = 9,654,371.81
  5. Step 5: Solve for x
    x = 9,654,371.81/3,494.55
  6. Step 6: Final answer
    x = 2,762.69

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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.