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Finding the Fourth Proportional to 1,338.36, 1,848.72 and 1,047.28

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Solution

The fourth proportional to 1,338.36, 1,848.72 and 1,047.28 is: 1,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.36 : 1,848.72 = 1,047.28 : x
  2. Step 2: Convert to fraction form
    1,338.36/1,848.72 = 1,047.28/x
  3. Step 3: Cross multiply
    1,338.36x = 1,848.72 × 1,047.28
  4. Step 4: Simplify right side
    1,338.36x = 1,936,127.48
  5. Step 5: Solve for x
    x = 1,936,127.48/1,338.36
  6. Step 6: Final answer
    x = 1,446.64

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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.