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Finding the Fourth Proportional to 1,661.09, 2,489.47 and 735.26

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Solution

The fourth proportional to 1,661.09, 2,489.47 and 735.26 is: 1,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.09 : 2,489.47 = 735.26 : x
  2. Step 2: Convert to fraction form
    1,661.09/2,489.47 = 735.26/x
  3. Step 3: Cross multiply
    1,661.09x = 2,489.47 × 735.26
  4. Step 4: Simplify right side
    1,661.09x = 1,830,393.43
  5. Step 5: Solve for x
    x = 1,830,393.43/1,661.09
  6. Step 6: Final answer
    x = 1,101.93

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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.