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Finding the Fourth Proportional to 2,415.98, 3,332.88 and 1,576.31

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Solution

The fourth proportional to 2,415.98, 3,332.88 and 1,576.31 is: 2,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.98 : 3,332.88 = 1,576.31 : x
  2. Step 2: Convert to fraction form
    2,415.98/3,332.88 = 1,576.31/x
  3. Step 3: Cross multiply
    2,415.98x = 3,332.88 × 1,576.31
  4. Step 4: Simplify right side
    2,415.98x = 5,253,635.41
  5. Step 5: Solve for x
    x = 5,253,635.41/2,415.98
  6. Step 6: Final answer
    x = 2,174.53

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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.