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Finding the Fourth Proportional to 2,045.75, 3,068.63 and 506.75

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Solution

The fourth proportional to 2,045.75, 3,068.63 and 506.75 is: 760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.75 : 3,068.63 = 506.75 : x
  2. Step 2: Convert to fraction form
    2,045.75/3,068.63 = 506.75/x
  3. Step 3: Cross multiply
    2,045.75x = 3,068.63 × 506.75
  4. Step 4: Simplify right side
    2,045.75x = 1,555,025.72
  5. Step 5: Solve for x
    x = 1,555,025.72/2,045.75
  6. Step 6: Final answer
    x = 760.13

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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.