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Finding the Fourth Proportional to 3,461.04, 4,776.30 and 2,064.60

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Solution

The fourth proportional to 3,461.04, 4,776.30 and 2,064.60 is: 2,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.04 : 4,776.30 = 2,064.60 : x
  2. Step 2: Convert to fraction form
    3,461.04/4,776.30 = 2,064.60/x
  3. Step 3: Cross multiply
    3,461.04x = 4,776.30 × 2,064.60
  4. Step 4: Simplify right side
    3,461.04x = 9,861,148.98
  5. Step 5: Solve for x
    x = 9,861,148.98/3,461.04
  6. Step 6: Final answer
    x = 2,849.19

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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.