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Finding the Fourth Proportional to 2,199.56, 3,036.35 and 1,315.20

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Solution

The fourth proportional to 2,199.56, 3,036.35 and 1,315.20 is: 1,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.56 : 3,036.35 = 1,315.20 : x
  2. Step 2: Convert to fraction form
    2,199.56/3,036.35 = 1,315.20/x
  3. Step 3: Cross multiply
    2,199.56x = 3,036.35 × 1,315.20
  4. Step 4: Simplify right side
    2,199.56x = 3,993,396.58
  5. Step 5: Solve for x
    x = 3,993,396.58/2,199.56
  6. Step 6: Final answer
    x = 1,815.54

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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.