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Finding the Fourth Proportional to 2,310.06, 3,464.04 and 848.19

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Solution

The fourth proportional to 2,310.06, 3,464.04 and 848.19 is: 1,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.06 : 3,464.04 = 848.19 : x
  2. Step 2: Convert to fraction form
    2,310.06/3,464.04 = 848.19/x
  3. Step 3: Cross multiply
    2,310.06x = 3,464.04 × 848.19
  4. Step 4: Simplify right side
    2,310.06x = 2,938,164.09
  5. Step 5: Solve for x
    x = 2,938,164.09/2,310.06
  6. Step 6: Final answer
    x = 1,271.90

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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.