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Finding the Fourth Proportional to 1,574.92, 2,173.49 and 945.47

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Solution

The fourth proportional to 1,574.92, 2,173.49 and 945.47 is: 1,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.92 : 2,173.49 = 945.47 : x
  2. Step 2: Convert to fraction form
    1,574.92/2,173.49 = 945.47/x
  3. Step 3: Cross multiply
    1,574.92x = 2,173.49 × 945.47
  4. Step 4: Simplify right side
    1,574.92x = 2,054,969.59
  5. Step 5: Solve for x
    x = 2,054,969.59/1,574.92
  6. Step 6: Final answer
    x = 1,304.81

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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.