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Finding the Fourth Proportional to 2,576.16, 3,553.74 and 1,830.42

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Solution

The fourth proportional to 2,576.16, 3,553.74 and 1,830.42 is: 2,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.16 : 3,553.74 = 1,830.42 : x
  2. Step 2: Convert to fraction form
    2,576.16/3,553.74 = 1,830.42/x
  3. Step 3: Cross multiply
    2,576.16x = 3,553.74 × 1,830.42
  4. Step 4: Simplify right side
    2,576.16x = 6,504,836.77
  5. Step 5: Solve for x
    x = 6,504,836.77/2,576.16
  6. Step 6: Final answer
    x = 2,525.01

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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.