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Finding the Fourth Proportional to 2,199.97, 3,036.24 and 1,416.29

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Solution

The fourth proportional to 2,199.97, 3,036.24 and 1,416.29 is: 1,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.97 : 3,036.24 = 1,416.29 : x
  2. Step 2: Convert to fraction form
    2,199.97/3,036.24 = 1,416.29/x
  3. Step 3: Cross multiply
    2,199.97x = 3,036.24 × 1,416.29
  4. Step 4: Simplify right side
    2,199.97x = 4,300,196.35
  5. Step 5: Solve for x
    x = 4,300,196.35/2,199.97
  6. Step 6: Final answer
    x = 1,954.67

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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.