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Finding the Fourth Proportional to 2,038.73, 3,056.61 and 651.28

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Solution

The fourth proportional to 2,038.73, 3,056.61 and 651.28 is: 976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.73 : 3,056.61 = 651.28 : x
  2. Step 2: Convert to fraction form
    2,038.73/3,056.61 = 651.28/x
  3. Step 3: Cross multiply
    2,038.73x = 3,056.61 × 651.28
  4. Step 4: Simplify right side
    2,038.73x = 1,990,703.36
  5. Step 5: Solve for x
    x = 1,990,703.36/2,038.73
  6. Step 6: Final answer
    x = 976.44

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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.