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Finding the Fourth Proportional to 1,576.51, 2,351.45 and 1,369.45

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Solution

The fourth proportional to 1,576.51, 2,351.45 and 1,369.45 is: 2,042.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.51 : 2,351.45 = 1,369.45 : x
  2. Step 2: Convert to fraction form
    1,576.51/2,351.45 = 1,369.45/x
  3. Step 3: Cross multiply
    1,576.51x = 2,351.45 × 1,369.45
  4. Step 4: Simplify right side
    1,576.51x = 3,220,193.20
  5. Step 5: Solve for x
    x = 3,220,193.20/1,576.51
  6. Step 6: Final answer
    x = 2,042.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.