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Finding the Fourth Proportional to 2,316.54, 3,474 and 1,393.14

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Solution

The fourth proportional to 2,316.54, 3,474 and 1,393.14 is: 2,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.54 : 3,474 = 1,393.14 : x
  2. Step 2: Convert to fraction form
    2,316.54/3,474 = 1,393.14/x
  3. Step 3: Cross multiply
    2,316.54x = 3,474 × 1,393.14
  4. Step 4: Simplify right side
    2,316.54x = 4,839,768.36
  5. Step 5: Solve for x
    x = 4,839,768.36/2,316.54
  6. Step 6: Final answer
    x = 2,089.22

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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.