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Finding the Fourth Proportional to 3,461.04, 4,776.60 and 2,045.43

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Solution

The fourth proportional to 3,461.04, 4,776.60 and 2,045.43 is: 2,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.04 : 4,776.60 = 2,045.43 : x
  2. Step 2: Convert to fraction form
    3,461.04/4,776.60 = 2,045.43/x
  3. Step 3: Cross multiply
    3,461.04x = 4,776.60 × 2,045.43
  4. Step 4: Simplify right side
    3,461.04x = 9,770,200.94
  5. Step 5: Solve for x
    x = 9,770,200.94/3,461.04
  6. Step 6: Final answer
    x = 2,822.91

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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.