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Finding the Fourth Proportional to 1,454.16, 2,006.19 and 894.18

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Solution

The fourth proportional to 1,454.16, 2,006.19 and 894.18 is: 1,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.16 : 2,006.19 = 894.18 : x
  2. Step 2: Convert to fraction form
    1,454.16/2,006.19 = 894.18/x
  3. Step 3: Cross multiply
    1,454.16x = 2,006.19 × 894.18
  4. Step 4: Simplify right side
    1,454.16x = 1,793,894.97
  5. Step 5: Solve for x
    x = 1,793,894.97/1,454.16
  6. Step 6: Final answer
    x = 1,233.63

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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.