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Finding the Fourth Proportional to 2,030.96, 3,045.33 and 696.39

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Solution

The fourth proportional to 2,030.96, 3,045.33 and 696.39 is: 1,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.96 : 3,045.33 = 696.39 : x
  2. Step 2: Convert to fraction form
    2,030.96/3,045.33 = 696.39/x
  3. Step 3: Cross multiply
    2,030.96x = 3,045.33 × 696.39
  4. Step 4: Simplify right side
    2,030.96x = 2,120,737.36
  5. Step 5: Solve for x
    x = 2,120,737.36/2,030.96
  6. Step 6: Final answer
    x = 1,044.21

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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.