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Finding the Fourth Proportional to 2,511.09, 3,466.08 and 1,849.88

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Solution

The fourth proportional to 2,511.09, 3,466.08 and 1,849.88 is: 2,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.09 : 3,466.08 = 1,849.88 : x
  2. Step 2: Convert to fraction form
    2,511.09/3,466.08 = 1,849.88/x
  3. Step 3: Cross multiply
    2,511.09x = 3,466.08 × 1,849.88
  4. Step 4: Simplify right side
    2,511.09x = 6,411,814.74
  5. Step 5: Solve for x
    x = 6,411,814.74/2,511.09
  6. Step 6: Final answer
    x = 2,553.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.