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Finding the Fourth Proportional to 1,924.48, 2,884.02 and 1,436.32

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Solution

The fourth proportional to 1,924.48, 2,884.02 and 1,436.32 is: 2,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.48 : 2,884.02 = 1,436.32 : x
  2. Step 2: Convert to fraction form
    1,924.48/2,884.02 = 1,436.32/x
  3. Step 3: Cross multiply
    1,924.48x = 2,884.02 × 1,436.32
  4. Step 4: Simplify right side
    1,924.48x = 4,142,375.61
  5. Step 5: Solve for x
    x = 4,142,375.61/1,924.48
  6. Step 6: Final answer
    x = 2,152.46

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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.