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Finding the Fourth Proportional to 1,891.65, 2,837.77 and 505.10

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Solution

The fourth proportional to 1,891.65, 2,837.77 and 505.10 is: 757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.65 : 2,837.77 = 505.10 : x
  2. Step 2: Convert to fraction form
    1,891.65/2,837.77 = 505.10/x
  3. Step 3: Cross multiply
    1,891.65x = 2,837.77 × 505.10
  4. Step 4: Simplify right side
    1,891.65x = 1,433,340.91
  5. Step 5: Solve for x
    x = 1,433,340.91/1,891.65
  6. Step 6: Final answer
    x = 757.72

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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.