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Finding the Fourth Proportional to 2,690.19, 3,712.32 and 1,511.22

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Solution

The fourth proportional to 2,690.19, 3,712.32 and 1,511.22 is: 2,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.19 : 3,712.32 = 1,511.22 : x
  2. Step 2: Convert to fraction form
    2,690.19/3,712.32 = 1,511.22/x
  3. Step 3: Cross multiply
    2,690.19x = 3,712.32 × 1,511.22
  4. Step 4: Simplify right side
    2,690.19x = 5,610,132.23
  5. Step 5: Solve for x
    x = 5,610,132.23/2,690.19
  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.