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Finding the Fourth Proportional to 2,038.08, 3,055.86 and 997.68

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Solution

The fourth proportional to 2,038.08, 3,055.86 and 997.68 is: 1,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.08 : 3,055.86 = 997.68 : x
  2. Step 2: Convert to fraction form
    2,038.08/3,055.86 = 997.68/x
  3. Step 3: Cross multiply
    2,038.08x = 3,055.86 × 997.68
  4. Step 4: Simplify right side
    2,038.08x = 3,048,770.40
  5. Step 5: Solve for x
    x = 3,048,770.40/2,038.08
  6. Step 6: Final answer
    x = 1,495.90

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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.