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Finding the Fourth Proportional to 1,556.97, 2,148.59 and 848.83

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Solution

The fourth proportional to 1,556.97, 2,148.59 and 848.83 is: 1,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.97 : 2,148.59 = 848.83 : x
  2. Step 2: Convert to fraction form
    1,556.97/2,148.59 = 848.83/x
  3. Step 3: Cross multiply
    1,556.97x = 2,148.59 × 848.83
  4. Step 4: Simplify right side
    1,556.97x = 1,823,787.65
  5. Step 5: Solve for x
    x = 1,823,787.65/1,556.97
  6. Step 6: Final answer
    x = 1,171.37

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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.