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Finding the Fourth Proportional to 1,815.52, 2,504.64 and 1,420.96

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Solution

The fourth proportional to 1,815.52, 2,504.64 and 1,420.96 is: 1,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.52 : 2,504.64 = 1,420.96 : x
  2. Step 2: Convert to fraction form
    1,815.52/2,504.64 = 1,420.96/x
  3. Step 3: Cross multiply
    1,815.52x = 2,504.64 × 1,420.96
  4. Step 4: Simplify right side
    1,815.52x = 3,558,993.25
  5. Step 5: Solve for x
    x = 3,558,993.25/1,815.52
  6. Step 6: Final answer
    x = 1,960.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.