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Finding the Fourth Proportional to 2,199.10, 3,034.93 and 1,254.67

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Solution

The fourth proportional to 2,199.10, 3,034.93 and 1,254.67 is: 1,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.10 : 3,034.93 = 1,254.67 : x
  2. Step 2: Convert to fraction form
    2,199.10/3,034.93 = 1,254.67/x
  3. Step 3: Cross multiply
    2,199.10x = 3,034.93 × 1,254.67
  4. Step 4: Simplify right side
    2,199.10x = 3,807,824.90
  5. Step 5: Solve for x
    x = 3,807,824.90/2,199.10
  6. Step 6: Final answer
    x = 1,731.54

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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.