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Finding the Fourth Proportional to 1,662.04, 2,288.37 and 1,412.95

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Solution

The fourth proportional to 1,662.04, 2,288.37 and 1,412.95 is: 1,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.04 : 2,288.37 = 1,412.95 : x
  2. Step 2: Convert to fraction form
    1,662.04/2,288.37 = 1,412.95/x
  3. Step 3: Cross multiply
    1,662.04x = 2,288.37 × 1,412.95
  4. Step 4: Simplify right side
    1,662.04x = 3,233,352.39
  5. Step 5: Solve for x
    x = 3,233,352.39/1,662.04
  6. Step 6: Final answer
    x = 1,945.41

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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.