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Finding the Fourth Proportional to 2,690.09, 3,712.39 and 1,511.13

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Solution

The fourth proportional to 2,690.09, 3,712.39 and 1,511.13 is: 2,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.09 : 3,712.39 = 1,511.13 : x
  2. Step 2: Convert to fraction form
    2,690.09/3,712.39 = 1,511.13/x
  3. Step 3: Cross multiply
    2,690.09x = 3,712.39 × 1,511.13
  4. Step 4: Simplify right side
    2,690.09x = 5,609,903.90
  5. Step 5: Solve for x
    x = 5,609,903.90/2,690.09
  6. Step 6: Final answer
    x = 2,085.40

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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.