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Finding the Fourth Proportional to 2,357.80, 3,554.35 and 2,199.22

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Solution

The fourth proportional to 2,357.80, 3,554.35 and 2,199.22 is: 3,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.80 : 3,554.35 = 2,199.22 : x
  2. Step 2: Convert to fraction form
    2,357.80/3,554.35 = 2,199.22/x
  3. Step 3: Cross multiply
    2,357.80x = 3,554.35 × 2,199.22
  4. Step 4: Simplify right side
    2,357.80x = 7,816,797.61
  5. Step 5: Solve for x
    x = 7,816,797.61/2,357.80
  6. Step 6: Final answer
    x = 3,315.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.