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Finding the Fourth Proportional to 1,338.50, 1,848.27 and 841.97

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Solution

The fourth proportional to 1,338.50, 1,848.27 and 841.97 is: 1,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.50 : 1,848.27 = 841.97 : x
  2. Step 2: Convert to fraction form
    1,338.50/1,848.27 = 841.97/x
  3. Step 3: Cross multiply
    1,338.50x = 1,848.27 × 841.97
  4. Step 4: Simplify right side
    1,338.50x = 1,556,187.89
  5. Step 5: Solve for x
    x = 1,556,187.89/1,338.50
  6. Step 6: Final answer
    x = 1,162.64

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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.