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Finding the Fourth Proportional to 2,029, 3,043.26 and 1,303.72

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Solution

The fourth proportional to 2,029, 3,043.26 and 1,303.72 is: 1,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029 : 3,043.26 = 1,303.72 : x
  2. Step 2: Convert to fraction form
    2,029/3,043.26 = 1,303.72/x
  3. Step 3: Cross multiply
    2,029x = 3,043.26 × 1,303.72
  4. Step 4: Simplify right side
    2,029x = 3,967,558.93
  5. Step 5: Solve for x
    x = 3,967,558.93/2,029
  6. Step 6: Final answer
    x = 1,955.43

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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.