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Finding the Fourth Proportional to 3,085.64, 4,622.64 and 1,523.81

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Solution

The fourth proportional to 3,085.64, 4,622.64 and 1,523.81 is: 2,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.64 : 4,622.64 = 1,523.81 : x
  2. Step 2: Convert to fraction form
    3,085.64/4,622.64 = 1,523.81/x
  3. Step 3: Cross multiply
    3,085.64x = 4,622.64 × 1,523.81
  4. Step 4: Simplify right side
    3,085.64x = 7,044,025.06
  5. Step 5: Solve for x
    x = 7,044,025.06/3,085.64
  6. Step 6: Final answer
    x = 2,282.84

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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.