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Finding the Fourth Proportional to 2,683.71, 3,703.50 and 1,504.80

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Solution

The fourth proportional to 2,683.71, 3,703.50 and 1,504.80 is: 2,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.71 : 3,703.50 = 1,504.80 : x
  2. Step 2: Convert to fraction form
    2,683.71/3,703.50 = 1,504.80/x
  3. Step 3: Cross multiply
    2,683.71x = 3,703.50 × 1,504.80
  4. Step 4: Simplify right side
    2,683.71x = 5,573,026.80
  5. Step 5: Solve for x
    x = 5,573,026.80/2,683.71
  6. Step 6: Final answer
    x = 2,076.61

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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.