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Finding the Fourth Proportional to 1,479.16, 2,040.19 and 919.91

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Solution

The fourth proportional to 1,479.16, 2,040.19 and 919.91 is: 1,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.16 : 2,040.19 = 919.91 : x
  2. Step 2: Convert to fraction form
    1,479.16/2,040.19 = 919.91/x
  3. Step 3: Cross multiply
    1,479.16x = 2,040.19 × 919.91
  4. Step 4: Simplify right side
    1,479.16x = 1,876,782.51
  5. Step 5: Solve for x
    x = 1,876,782.51/1,479.16
  6. Step 6: Final answer
    x = 1,268.82

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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.