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Finding the Fourth Proportional to 2,044.64, 3,066.96 and 505.64

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Solution

The fourth proportional to 2,044.64, 3,066.96 and 505.64 is: 758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.64 : 3,066.96 = 505.64 : x
  2. Step 2: Convert to fraction form
    2,044.64/3,066.96 = 505.64/x
  3. Step 3: Cross multiply
    2,044.64x = 3,066.96 × 505.64
  4. Step 4: Simplify right side
    2,044.64x = 1,550,777.65
  5. Step 5: Solve for x
    x = 1,550,777.65/2,044.64
  6. Step 6: Final answer
    x = 758.46

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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.