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Finding the Fourth Proportional to 2,200.78, 3,037.08 and 1,316.80

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Solution

The fourth proportional to 2,200.78, 3,037.08 and 1,316.80 is: 1,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.78 : 3,037.08 = 1,316.80 : x
  2. Step 2: Convert to fraction form
    2,200.78/3,037.08 = 1,316.80/x
  3. Step 3: Cross multiply
    2,200.78x = 3,037.08 × 1,316.80
  4. Step 4: Simplify right side
    2,200.78x = 3,999,226.94
  5. Step 5: Solve for x
    x = 3,999,226.94/2,200.78
  6. Step 6: Final answer
    x = 1,817.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.