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Finding the Fourth Proportional to 2,056.96, 3,085.44 and 518.08

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Solution

The fourth proportional to 2,056.96, 3,085.44 and 518.08 is: 777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.96 : 3,085.44 = 518.08 : x
  2. Step 2: Convert to fraction form
    2,056.96/3,085.44 = 518.08/x
  3. Step 3: Cross multiply
    2,056.96x = 3,085.44 × 518.08
  4. Step 4: Simplify right side
    2,056.96x = 1,598,504.76
  5. Step 5: Solve for x
    x = 1,598,504.76/2,056.96
  6. Step 6: Final answer
    x = 777.12

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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.