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Finding the Fourth Proportional to 2,181.47, 3,258.92 and 1,395.18

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Solution

The fourth proportional to 2,181.47, 3,258.92 and 1,395.18 is: 2,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.47 : 3,258.92 = 1,395.18 : x
  2. Step 2: Convert to fraction form
    2,181.47/3,258.92 = 1,395.18/x
  3. Step 3: Cross multiply
    2,181.47x = 3,258.92 × 1,395.18
  4. Step 4: Simplify right side
    2,181.47x = 4,546,783.49
  5. Step 5: Solve for x
    x = 4,546,783.49/2,181.47
  6. Step 6: Final answer
    x = 2,084.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.