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Finding the Fourth Proportional to 3,314.05, 4,971.07 and 848.79

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Solution

The fourth proportional to 3,314.05, 4,971.07 and 848.79 is: 1,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.05 : 4,971.07 = 848.79 : x
  2. Step 2: Convert to fraction form
    3,314.05/4,971.07 = 848.79/x
  3. Step 3: Cross multiply
    3,314.05x = 4,971.07 × 848.79
  4. Step 4: Simplify right side
    3,314.05x = 4,219,394.51
  5. Step 5: Solve for x
    x = 4,219,394.51/3,314.05
  6. Step 6: Final answer
    x = 1,273.18

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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.