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Finding the Fourth Proportional to 1,574.05, 2,172.31 and 944.60

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Solution

The fourth proportional to 1,574.05, 2,172.31 and 944.60 is: 1,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.05 : 2,172.31 = 944.60 : x
  2. Step 2: Convert to fraction form
    1,574.05/2,172.31 = 944.60/x
  3. Step 3: Cross multiply
    1,574.05x = 2,172.31 × 944.60
  4. Step 4: Simplify right side
    1,574.05x = 2,051,964.03
  5. Step 5: Solve for x
    x = 2,051,964.03/1,574.05
  6. Step 6: Final answer
    x = 1,303.62

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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.