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Finding the Fourth Proportional to 2,200.77, 3,036.76 and 1,316.45

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Solution

The fourth proportional to 2,200.77, 3,036.76 and 1,316.45 is: 1,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.77 : 3,036.76 = 1,316.45 : x
  2. Step 2: Convert to fraction form
    2,200.77/3,036.76 = 1,316.45/x
  3. Step 3: Cross multiply
    2,200.77x = 3,036.76 × 1,316.45
  4. Step 4: Simplify right side
    2,200.77x = 3,997,747.00
  5. Step 5: Solve for x
    x = 3,997,747.00/2,200.77
  6. Step 6: Final answer
    x = 1,816.52

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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.