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Finding the Fourth Proportional to 2,030.34, 3,043.66 and 731.51

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Solution

The fourth proportional to 2,030.34, 3,043.66 and 731.51 is: 1,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.34 : 3,043.66 = 731.51 : x
  2. Step 2: Convert to fraction form
    2,030.34/3,043.66 = 731.51/x
  3. Step 3: Cross multiply
    2,030.34x = 3,043.66 × 731.51
  4. Step 4: Simplify right side
    2,030.34x = 2,226,467.73
  5. Step 5: Solve for x
    x = 2,226,467.73/2,030.34
  6. Step 6: Final answer
    x = 1,096.60

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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.