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Finding the Fourth Proportional to 1,661.60, 2,489.70 and 1,044.20

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Solution

The fourth proportional to 1,661.60, 2,489.70 and 1,044.20 is: 1,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.60 : 2,489.70 = 1,044.20 : x
  2. Step 2: Convert to fraction form
    1,661.60/2,489.70 = 1,044.20/x
  3. Step 3: Cross multiply
    1,661.60x = 2,489.70 × 1,044.20
  4. Step 4: Simplify right side
    1,661.60x = 2,599,744.74
  5. Step 5: Solve for x
    x = 2,599,744.74/1,661.60
  6. Step 6: Final answer
    x = 1,564.60

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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.