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Finding the Fourth Proportional to 1,260.18, 1,889.91 and 382.47

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Solution

The fourth proportional to 1,260.18, 1,889.91 and 382.47 is: 573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.18 : 1,889.91 = 382.47 : x
  2. Step 2: Convert to fraction form
    1,260.18/1,889.91 = 382.47/x
  3. Step 3: Cross multiply
    1,260.18x = 1,889.91 × 382.47
  4. Step 4: Simplify right side
    1,260.18x = 722,833.88
  5. Step 5: Solve for x
    x = 722,833.88/1,260.18
  6. Step 6: Final answer
    x = 573.60

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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.