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Finding the Fourth Proportional to 1,360.63, 1,878.24 and 919.13

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Solution

The fourth proportional to 1,360.63, 1,878.24 and 919.13 is: 1,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.63 : 1,878.24 = 919.13 : x
  2. Step 2: Convert to fraction form
    1,360.63/1,878.24 = 919.13/x
  3. Step 3: Cross multiply
    1,360.63x = 1,878.24 × 919.13
  4. Step 4: Simplify right side
    1,360.63x = 1,726,344.95
  5. Step 5: Solve for x
    x = 1,726,344.95/1,360.63
  6. Step 6: Final answer
    x = 1,268.78

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