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Finding the Fourth Proportional to 2,029.07, 3,043.59 and 661.07

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Solution

The fourth proportional to 2,029.07, 3,043.59 and 661.07 is: 991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.07 : 3,043.59 = 661.07 : x
  2. Step 2: Convert to fraction form
    2,029.07/3,043.59 = 661.07/x
  3. Step 3: Cross multiply
    2,029.07x = 3,043.59 × 661.07
  4. Step 4: Simplify right side
    2,029.07x = 2,012,026.04
  5. Step 5: Solve for x
    x = 2,012,026.04/2,029.07
  6. Step 6: Final answer
    x = 991.60

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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.