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Finding the Fourth Proportional to 1,874.81, 2,812.22 and 506.81

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Solution

The fourth proportional to 1,874.81, 2,812.22 and 506.81 is: 760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.81 : 2,812.22 = 506.81 : x
  2. Step 2: Convert to fraction form
    1,874.81/2,812.22 = 506.81/x
  3. Step 3: Cross multiply
    1,874.81x = 2,812.22 × 506.81
  4. Step 4: Simplify right side
    1,874.81x = 1,425,261.22
  5. Step 5: Solve for x
    x = 1,425,261.22/1,874.81
  6. Step 6: Final answer
    x = 760.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.