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Finding the Fourth Proportional to 3,602.25, 5,405.04 and 1,522.74

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Solution

The fourth proportional to 3,602.25, 5,405.04 and 1,522.74 is: 2,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.25 : 5,405.04 = 1,522.74 : x
  2. Step 2: Convert to fraction form
    3,602.25/5,405.04 = 1,522.74/x
  3. Step 3: Cross multiply
    3,602.25x = 5,405.04 × 1,522.74
  4. Step 4: Simplify right side
    3,602.25x = 8,230,445.27
  5. Step 5: Solve for x
    x = 8,230,445.27/3,602.25
  6. Step 6: Final answer
    x = 2,284.81

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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.