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Finding the Fourth Proportional to 1,888.06, 2,833.02 and 848.78

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Solution

The fourth proportional to 1,888.06, 2,833.02 and 848.78 is: 1,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.06 : 2,833.02 = 848.78 : x
  2. Step 2: Convert to fraction form
    1,888.06/2,833.02 = 848.78/x
  3. Step 3: Cross multiply
    1,888.06x = 2,833.02 × 848.78
  4. Step 4: Simplify right side
    1,888.06x = 2,404,610.72
  5. Step 5: Solve for x
    x = 2,404,610.72/1,888.06
  6. Step 6: Final answer
    x = 1,273.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.