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Finding the Fourth Proportional to 2,066.61, 3,099.88 and 506.61

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Solution

The fourth proportional to 2,066.61, 3,099.88 and 506.61 is: 759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.61 : 3,099.88 = 506.61 : x
  2. Step 2: Convert to fraction form
    2,066.61/3,099.88 = 506.61/x
  3. Step 3: Cross multiply
    2,066.61x = 3,099.88 × 506.61
  4. Step 4: Simplify right side
    2,066.61x = 1,570,430.21
  5. Step 5: Solve for x
    x = 1,570,430.21/2,066.61
  6. Step 6: Final answer
    x = 759.91

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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.