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Finding the Fourth Proportional to 2,063.12, 3,094.72 and 524.08

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Solution

The fourth proportional to 2,063.12, 3,094.72 and 524.08 is: 786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.12 : 3,094.72 = 524.08 : x
  2. Step 2: Convert to fraction form
    2,063.12/3,094.72 = 524.08/x
  3. Step 3: Cross multiply
    2,063.12x = 3,094.72 × 524.08
  4. Step 4: Simplify right side
    2,063.12x = 1,621,880.86
  5. Step 5: Solve for x
    x = 1,621,880.86/2,063.12
  6. Step 6: Final answer
    x = 786.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.