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Finding the Fourth Proportional to 3,083.64, 4,630.28 and 1,786

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Solution

The fourth proportional to 3,083.64, 4,630.28 and 1,786 is: 2,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.64 : 4,630.28 = 1,786 : x
  2. Step 2: Convert to fraction form
    3,083.64/4,630.28 = 1,786/x
  3. Step 3: Cross multiply
    3,083.64x = 4,630.28 × 1,786
  4. Step 4: Simplify right side
    3,083.64x = 8,269,680.08
  5. Step 5: Solve for x
    x = 8,269,680.08/3,083.64
  6. Step 6: Final answer
    x = 2,681.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.