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Finding the Fourth Proportional to 2,016.53, 3,024.98 and 784.03

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Solution

The fourth proportional to 2,016.53, 3,024.98 and 784.03 is: 1,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.53 : 3,024.98 = 784.03 : x
  2. Step 2: Convert to fraction form
    2,016.53/3,024.98 = 784.03/x
  3. Step 3: Cross multiply
    2,016.53x = 3,024.98 × 784.03
  4. Step 4: Simplify right side
    2,016.53x = 2,371,684.59
  5. Step 5: Solve for x
    x = 2,371,684.59/2,016.53
  6. Step 6: Final answer
    x = 1,176.12

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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.