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Finding the Fourth Proportional to 2,384.84, 3,576.86 and 653.06

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Solution

The fourth proportional to 2,384.84, 3,576.86 and 653.06 is: 979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.84 : 3,576.86 = 653.06 : x
  2. Step 2: Convert to fraction form
    2,384.84/3,576.86 = 653.06/x
  3. Step 3: Cross multiply
    2,384.84x = 3,576.86 × 653.06
  4. Step 4: Simplify right side
    2,384.84x = 2,335,912.32
  5. Step 5: Solve for x
    x = 2,335,912.32/2,384.84
  6. Step 6: Final answer
    x = 979.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.