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Finding the Fourth Proportional to 2,690.48, 3,712.98 and 1,511.58

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Solution

The fourth proportional to 2,690.48, 3,712.98 and 1,511.58 is: 2,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.48 : 3,712.98 = 1,511.58 : x
  2. Step 2: Convert to fraction form
    2,690.48/3,712.98 = 1,511.58/x
  3. Step 3: Cross multiply
    2,690.48x = 3,712.98 × 1,511.58
  4. Step 4: Simplify right side
    2,690.48x = 5,612,466.31
  5. Step 5: Solve for x
    x = 5,612,466.31/2,690.48
  6. Step 6: Final answer
    x = 2,086.05

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