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Finding the Fourth Proportional to 1,410.44, 1,946.72 and 939.16

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Solution

The fourth proportional to 1,410.44, 1,946.72 and 939.16 is: 1,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.44 : 1,946.72 = 939.16 : x
  2. Step 2: Convert to fraction form
    1,410.44/1,946.72 = 939.16/x
  3. Step 3: Cross multiply
    1,410.44x = 1,946.72 × 939.16
  4. Step 4: Simplify right side
    1,410.44x = 1,828,281.56
  5. Step 5: Solve for x
    x = 1,828,281.56/1,410.44
  6. Step 6: Final answer
    x = 1,296.25

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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.