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Finding the Fourth Proportional to 3,461.98, 4,774.89 and 2,203.24

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Solution

The fourth proportional to 3,461.98, 4,774.89 and 2,203.24 is: 3,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.98 : 4,774.89 = 2,203.24 : x
  2. Step 2: Convert to fraction form
    3,461.98/4,774.89 = 2,203.24/x
  3. Step 3: Cross multiply
    3,461.98x = 4,774.89 × 2,203.24
  4. Step 4: Simplify right side
    3,461.98x = 10,520,228.64
  5. Step 5: Solve for x
    x = 10,520,228.64/3,461.98
  6. Step 6: Final answer
    x = 3,038.79

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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.