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Finding the Fourth Proportional to 2,706.54, 4,065.93 and 2,337.48

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Solution

The fourth proportional to 2,706.54, 4,065.93 and 2,337.48 is: 3,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.54 : 4,065.93 = 2,337.48 : x
  2. Step 2: Convert to fraction form
    2,706.54/4,065.93 = 2,337.48/x
  3. Step 3: Cross multiply
    2,706.54x = 4,065.93 × 2,337.48
  4. Step 4: Simplify right side
    2,706.54x = 9,504,030.06
  5. Step 5: Solve for x
    x = 9,504,030.06/2,706.54
  6. Step 6: Final answer
    x = 3,511.51

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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.