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Finding the Fourth Proportional to 1,367.58, 1,886.27 and 894.72

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Solution

The fourth proportional to 1,367.58, 1,886.27 and 894.72 is: 1,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.58 : 1,886.27 = 894.72 : x
  2. Step 2: Convert to fraction form
    1,367.58/1,886.27 = 894.72/x
  3. Step 3: Cross multiply
    1,367.58x = 1,886.27 × 894.72
  4. Step 4: Simplify right side
    1,367.58x = 1,687,679.02
  5. Step 5: Solve for x
    x = 1,687,679.02/1,367.58
  6. Step 6: Final answer
    x = 1,234.06

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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.