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Finding the Fourth Proportional to 1,894.58, 2,614.26 and 1,055.24

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Solution

The fourth proportional to 1,894.58, 2,614.26 and 1,055.24 is: 1,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.58 : 2,614.26 = 1,055.24 : x
  2. Step 2: Convert to fraction form
    1,894.58/2,614.26 = 1,055.24/x
  3. Step 3: Cross multiply
    1,894.58x = 2,614.26 × 1,055.24
  4. Step 4: Simplify right side
    1,894.58x = 2,758,671.72
  5. Step 5: Solve for x
    x = 2,758,671.72/1,894.58
  6. Step 6: Final answer
    x = 1,456.09

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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.