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Finding the Fourth Proportional to 1,419.15, 1,957.62 and 894.27

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Solution

The fourth proportional to 1,419.15, 1,957.62 and 894.27 is: 1,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.15 : 1,957.62 = 894.27 : x
  2. Step 2: Convert to fraction form
    1,419.15/1,957.62 = 894.27/x
  3. Step 3: Cross multiply
    1,419.15x = 1,957.62 × 894.27
  4. Step 4: Simplify right side
    1,419.15x = 1,750,640.84
  5. Step 5: Solve for x
    x = 1,750,640.84/1,419.15
  6. Step 6: Final answer
    x = 1,233.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.