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Finding the Fourth Proportional to 3,461.97, 4,777.34 and 1,970.09

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Solution

The fourth proportional to 3,461.97, 4,777.34 and 1,970.09 is: 2,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.97 : 4,777.34 = 1,970.09 : x
  2. Step 2: Convert to fraction form
    3,461.97/4,777.34 = 1,970.09/x
  3. Step 3: Cross multiply
    3,461.97x = 4,777.34 × 1,970.09
  4. Step 4: Simplify right side
    3,461.97x = 9,411,756.02
  5. Step 5: Solve for x
    x = 9,411,756.02/3,461.97
  6. Step 6: Final answer
    x = 2,718.61

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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.