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Finding the Fourth Proportional to 1,360.22, 1,878 and 919.14

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Solution

The fourth proportional to 1,360.22, 1,878 and 919.14 is: 1,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.22 : 1,878 = 919.14 : x
  2. Step 2: Convert to fraction form
    1,360.22/1,878 = 919.14/x
  3. Step 3: Cross multiply
    1,360.22x = 1,878 × 919.14
  4. Step 4: Simplify right side
    1,360.22x = 1,726,144.92
  5. Step 5: Solve for x
    x = 1,726,144.92/1,360.22
  6. Step 6: Final answer
    x = 1,269.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.