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Finding the Fourth Proportional to 2,706.21, 4,039.67 and 2,503.10

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Solution

The fourth proportional to 2,706.21, 4,039.67 and 2,503.10 is: 3,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.21 : 4,039.67 = 2,503.10 : x
  2. Step 2: Convert to fraction form
    2,706.21/4,039.67 = 2,503.10/x
  3. Step 3: Cross multiply
    2,706.21x = 4,039.67 × 2,503.10
  4. Step 4: Simplify right side
    2,706.21x = 10,111,714.33
  5. Step 5: Solve for x
    x = 10,111,714.33/2,706.21
  6. Step 6: Final answer
    x = 3,736.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.