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Finding the Fourth Proportional to 2,017.98, 3,025.08 and 784.53

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Solution

The fourth proportional to 2,017.98, 3,025.08 and 784.53 is: 1,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.98 : 3,025.08 = 784.53 : x
  2. Step 2: Convert to fraction form
    2,017.98/3,025.08 = 784.53/x
  3. Step 3: Cross multiply
    2,017.98x = 3,025.08 × 784.53
  4. Step 4: Simplify right side
    2,017.98x = 2,373,266.01
  5. Step 5: Solve for x
    x = 2,373,266.01/2,017.98
  6. Step 6: Final answer
    x = 1,176.06

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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.