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Finding the Fourth Proportional to 1,468.13, 2,027.23 and 945.07

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Solution

The fourth proportional to 1,468.13, 2,027.23 and 945.07 is: 1,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.13 : 2,027.23 = 945.07 : x
  2. Step 2: Convert to fraction form
    1,468.13/2,027.23 = 945.07/x
  3. Step 3: Cross multiply
    1,468.13x = 2,027.23 × 945.07
  4. Step 4: Simplify right side
    1,468.13x = 1,915,866.83
  5. Step 5: Solve for x
    x = 1,915,866.83/1,468.13
  6. Step 6: Final answer
    x = 1,304.98

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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.