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Finding the Fourth Proportional to 1,556.81, 2,148.41 and 848.66

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Solution

The fourth proportional to 1,556.81, 2,148.41 and 848.66 is: 1,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.81 : 2,148.41 = 848.66 : x
  2. Step 2: Convert to fraction form
    1,556.81/2,148.41 = 848.66/x
  3. Step 3: Cross multiply
    1,556.81x = 2,148.41 × 848.66
  4. Step 4: Simplify right side
    1,556.81x = 1,823,269.63
  5. Step 5: Solve for x
    x = 1,823,269.63/1,556.81
  6. Step 6: Final answer
    x = 1,171.16

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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.