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Finding the Fourth Proportional to 2,384.32, 3,576.03 and 1,924.78

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Solution

The fourth proportional to 2,384.32, 3,576.03 and 1,924.78 is: 2,886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.32 : 3,576.03 = 1,924.78 : x
  2. Step 2: Convert to fraction form
    2,384.32/3,576.03 = 1,924.78/x
  3. Step 3: Cross multiply
    2,384.32x = 3,576.03 × 1,924.78
  4. Step 4: Simplify right side
    2,384.32x = 6,883,071.02
  5. Step 5: Solve for x
    x = 6,883,071.02/2,384.32
  6. Step 6: Final answer
    x = 2,886.81

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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.