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Finding the Fourth Proportional to 2,743.79, 4,114.60 and 894.45

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Solution

The fourth proportional to 2,743.79, 4,114.60 and 894.45 is: 1,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.79 : 4,114.60 = 894.45 : x
  2. Step 2: Convert to fraction form
    2,743.79/4,114.60 = 894.45/x
  3. Step 3: Cross multiply
    2,743.79x = 4,114.60 × 894.45
  4. Step 4: Simplify right side
    2,743.79x = 3,680,303.97
  5. Step 5: Solve for x
    x = 3,680,303.97/2,743.79
  6. Step 6: Final answer
    x = 1,341.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.