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Finding the Fourth Proportional to 2,045.81, 3,068.72 and 506.81

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Solution

The fourth proportional to 2,045.81, 3,068.72 and 506.81 is: 760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.81 : 3,068.72 = 506.81 : x
  2. Step 2: Convert to fraction form
    2,045.81/3,068.72 = 506.81/x
  3. Step 3: Cross multiply
    2,045.81x = 3,068.72 × 506.81
  4. Step 4: Simplify right side
    2,045.81x = 1,555,265.02
  5. Step 5: Solve for x
    x = 1,555,265.02/2,045.81
  6. Step 6: Final answer
    x = 760.22

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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.