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Finding the Fourth Proportional to 2,066.84, 3,099.96 and 606.14

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Solution

The fourth proportional to 2,066.84, 3,099.96 and 606.14 is: 909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.84 : 3,099.96 = 606.14 : x
  2. Step 2: Convert to fraction form
    2,066.84/3,099.96 = 606.14/x
  3. Step 3: Cross multiply
    2,066.84x = 3,099.96 × 606.14
  4. Step 4: Simplify right side
    2,066.84x = 1,879,009.75
  5. Step 5: Solve for x
    x = 1,879,009.75/2,066.84
  6. Step 6: Final answer
    x = 909.12

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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.