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Finding the Fourth Proportional to 2,016.59, 3,025.23 and 783.98

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Solution

The fourth proportional to 2,016.59, 3,025.23 and 783.98 is: 1,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.59 : 3,025.23 = 783.98 : x
  2. Step 2: Convert to fraction form
    2,016.59/3,025.23 = 783.98/x
  3. Step 3: Cross multiply
    2,016.59x = 3,025.23 × 783.98
  4. Step 4: Simplify right side
    2,016.59x = 2,371,700.77
  5. Step 5: Solve for x
    x = 2,371,700.77/2,016.59
  6. Step 6: Final answer
    x = 1,176.09

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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.