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Finding the Fourth Proportional to 1,360.72, 2,036.30 and 942.23

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Solution

The fourth proportional to 1,360.72, 2,036.30 and 942.23 is: 1,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.72 : 2,036.30 = 942.23 : x
  2. Step 2: Convert to fraction form
    1,360.72/2,036.30 = 942.23/x
  3. Step 3: Cross multiply
    1,360.72x = 2,036.30 × 942.23
  4. Step 4: Simplify right side
    1,360.72x = 1,918,669.95
  5. Step 5: Solve for x
    x = 1,918,669.95/1,360.72
  6. Step 6: Final answer
    x = 1,410.04

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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.