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Finding the Fourth Proportional to 2,506.77, 3,460.05 and 1,511.82

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Solution

The fourth proportional to 2,506.77, 3,460.05 and 1,511.82 is: 2,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.77 : 3,460.05 = 1,511.82 : x
  2. Step 2: Convert to fraction form
    2,506.77/3,460.05 = 1,511.82/x
  3. Step 3: Cross multiply
    2,506.77x = 3,460.05 × 1,511.82
  4. Step 4: Simplify right side
    2,506.77x = 5,230,972.79
  5. Step 5: Solve for x
    x = 5,230,972.79/2,506.77
  6. Step 6: Final answer
    x = 2,086.74

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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.