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Finding the Fourth Proportional to 2,096.84, 3,145.25 and 536.84

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Solution

The fourth proportional to 2,096.84, 3,145.25 and 536.84 is: 805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.84 : 3,145.25 = 536.84 : x
  2. Step 2: Convert to fraction form
    2,096.84/3,145.25 = 536.84/x
  3. Step 3: Cross multiply
    2,096.84x = 3,145.25 × 536.84
  4. Step 4: Simplify right side
    2,096.84x = 1,688,485.46
  5. Step 5: Solve for x
    x = 1,688,485.46/2,096.84
  6. Step 6: Final answer
    x = 805.25

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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.