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Finding the Fourth Proportional to 1,574.81, 2,173.17 and 944.99

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Solution

The fourth proportional to 1,574.81, 2,173.17 and 944.99 is: 1,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.81 : 2,173.17 = 944.99 : x
  2. Step 2: Convert to fraction form
    1,574.81/2,173.17 = 944.99/x
  3. Step 3: Cross multiply
    1,574.81x = 2,173.17 × 944.99
  4. Step 4: Simplify right side
    1,574.81x = 2,053,613.05
  5. Step 5: Solve for x
    x = 2,053,613.05/1,574.81
  6. Step 6: Final answer
    x = 1,304.04

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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.