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Finding the Fourth Proportional to 2,384.48, 3,573.27 and 1,643.33

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Solution

The fourth proportional to 2,384.48, 3,573.27 and 1,643.33 is: 2,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.48 : 3,573.27 = 1,643.33 : x
  2. Step 2: Convert to fraction form
    2,384.48/3,573.27 = 1,643.33/x
  3. Step 3: Cross multiply
    2,384.48x = 3,573.27 × 1,643.33
  4. Step 4: Simplify right side
    2,384.48x = 5,872,070.72
  5. Step 5: Solve for x
    x = 5,872,070.72/2,384.48
  6. Step 6: Final answer
    x = 2,462.62

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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.