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Finding the Fourth Proportional to 2,592.32, 3,576.72 and 1,648.64

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Solution

The fourth proportional to 2,592.32, 3,576.72 and 1,648.64 is: 2,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.32 : 3,576.72 = 1,648.64 : x
  2. Step 2: Convert to fraction form
    2,592.32/3,576.72 = 1,648.64/x
  3. Step 3: Cross multiply
    2,592.32x = 3,576.72 × 1,648.64
  4. Step 4: Simplify right side
    2,592.32x = 5,896,723.66
  5. Step 5: Solve for x
    x = 5,896,723.66/2,592.32
  6. Step 6: Final answer
    x = 2,274.69

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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.