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Finding the Fourth Proportional to 1,383.93, 1,908.54 and 1,030.72

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Solution

The fourth proportional to 1,383.93, 1,908.54 and 1,030.72 is: 1,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.93 : 1,908.54 = 1,030.72 : x
  2. Step 2: Convert to fraction form
    1,383.93/1,908.54 = 1,030.72/x
  3. Step 3: Cross multiply
    1,383.93x = 1,908.54 × 1,030.72
  4. Step 4: Simplify right side
    1,383.93x = 1,967,160.89
  5. Step 5: Solve for x
    x = 1,967,160.89/1,383.93
  6. Step 6: Final answer
    x = 1,421.43

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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.