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Finding the Fourth Proportional to 2,041.77, 2,817.60 and 1,191.18

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Solution

The fourth proportional to 2,041.77, 2,817.60 and 1,191.18 is: 1,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.77 : 2,817.60 = 1,191.18 : x
  2. Step 2: Convert to fraction form
    2,041.77/2,817.60 = 1,191.18/x
  3. Step 3: Cross multiply
    2,041.77x = 2,817.60 × 1,191.18
  4. Step 4: Simplify right side
    2,041.77x = 3,356,274.87
  5. Step 5: Solve for x
    x = 3,356,274.87/2,041.77
  6. Step 6: Final answer
    x = 1,643.80

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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.