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Finding the Fourth Proportional to 1,766.61, 2,644.45 and 1,504.17

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Solution

The fourth proportional to 1,766.61, 2,644.45 and 1,504.17 is: 2,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.61 : 2,644.45 = 1,504.17 : x
  2. Step 2: Convert to fraction form
    1,766.61/2,644.45 = 1,504.17/x
  3. Step 3: Cross multiply
    1,766.61x = 2,644.45 × 1,504.17
  4. Step 4: Simplify right side
    1,766.61x = 3,977,698.60
  5. Step 5: Solve for x
    x = 3,977,698.60/1,766.61
  6. Step 6: Final answer
    x = 2,251.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.