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Finding the Fourth Proportional to 2,044.42, 3,066.63 and 505.42

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Solution

The fourth proportional to 2,044.42, 3,066.63 and 505.42 is: 758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.42 : 3,066.63 = 505.42 : x
  2. Step 2: Convert to fraction form
    2,044.42/3,066.63 = 505.42/x
  3. Step 3: Cross multiply
    2,044.42x = 3,066.63 × 505.42
  4. Step 4: Simplify right side
    2,044.42x = 1,549,936.13
  5. Step 5: Solve for x
    x = 1,549,936.13/2,044.42
  6. Step 6: Final answer
    x = 758.13

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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.