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Finding the Fourth Proportional to 2,173.02, 3,258.70 and 940.33

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Solution

The fourth proportional to 2,173.02, 3,258.70 and 940.33 is: 1,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.02 : 3,258.70 = 940.33 : x
  2. Step 2: Convert to fraction form
    2,173.02/3,258.70 = 940.33/x
  3. Step 3: Cross multiply
    2,173.02x = 3,258.70 × 940.33
  4. Step 4: Simplify right side
    2,173.02x = 3,064,253.37
  5. Step 5: Solve for x
    x = 3,064,253.37/2,173.02
  6. Step 6: Final answer
    x = 1,410.14

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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.