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Finding the Fourth Proportional to 1,383.67, 1,908.63 and 1,051.98

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Solution

The fourth proportional to 1,383.67, 1,908.63 and 1,051.98 is: 1,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.67 : 1,908.63 = 1,051.98 : x
  2. Step 2: Convert to fraction form
    1,383.67/1,908.63 = 1,051.98/x
  3. Step 3: Cross multiply
    1,383.67x = 1,908.63 × 1,051.98
  4. Step 4: Simplify right side
    1,383.67x = 2,007,840.59
  5. Step 5: Solve for x
    x = 2,007,840.59/1,383.67
  6. Step 6: Final answer
    x = 1,451.10

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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.