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Finding the Fourth Proportional to 2,200.64, 3,036.48 and 1,316.78

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Solution

The fourth proportional to 2,200.64, 3,036.48 and 1,316.78 is: 1,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.64 : 3,036.48 = 1,316.78 : x
  2. Step 2: Convert to fraction form
    2,200.64/3,036.48 = 1,316.78/x
  3. Step 3: Cross multiply
    2,200.64x = 3,036.48 × 1,316.78
  4. Step 4: Simplify right side
    2,200.64x = 3,998,376.13
  5. Step 5: Solve for x
    x = 3,998,376.13/2,200.64
  6. Step 6: Final answer
    x = 1,816.92

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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.