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Finding the Fourth Proportional to 2,706.49, 3,735.02 and 1,657.95

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Solution

The fourth proportional to 2,706.49, 3,735.02 and 1,657.95 is: 2,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.49 : 3,735.02 = 1,657.95 : x
  2. Step 2: Convert to fraction form
    2,706.49/3,735.02 = 1,657.95/x
  3. Step 3: Cross multiply
    2,706.49x = 3,735.02 × 1,657.95
  4. Step 4: Simplify right side
    2,706.49x = 6,192,476.41
  5. Step 5: Solve for x
    x = 6,192,476.41/2,706.49
  6. Step 6: Final answer
    x = 2,288.01

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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.