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Finding the Fourth Proportional to 3,461.58, 4,776.34 and 1,949.02

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Solution

The fourth proportional to 3,461.58, 4,776.34 and 1,949.02 is: 2,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.58 : 4,776.34 = 1,949.02 : x
  2. Step 2: Convert to fraction form
    3,461.58/4,776.34 = 1,949.02/x
  3. Step 3: Cross multiply
    3,461.58x = 4,776.34 × 1,949.02
  4. Step 4: Simplify right side
    3,461.58x = 9,309,182.19
  5. Step 5: Solve for x
    x = 9,309,182.19/3,461.58
  6. Step 6: Final answer
    x = 2,689.29

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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.