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Finding the Fourth Proportional to 2,051.94, 3,080 and 1,502.49

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Solution

The fourth proportional to 2,051.94, 3,080 and 1,502.49 is: 2,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.94 : 3,080 = 1,502.49 : x
  2. Step 2: Convert to fraction form
    2,051.94/3,080 = 1,502.49/x
  3. Step 3: Cross multiply
    2,051.94x = 3,080 × 1,502.49
  4. Step 4: Simplify right side
    2,051.94x = 4,627,669.20
  5. Step 5: Solve for x
    x = 4,627,669.20/2,051.94
  6. Step 6: Final answer
    x = 2,255.27

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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.