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Finding the Fourth Proportional to 2,670.07, 4,004.80 and 722.43

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Solution

The fourth proportional to 2,670.07, 4,004.80 and 722.43 is: 1,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.07 : 4,004.80 = 722.43 : x
  2. Step 2: Convert to fraction form
    2,670.07/4,004.80 = 722.43/x
  3. Step 3: Cross multiply
    2,670.07x = 4,004.80 × 722.43
  4. Step 4: Simplify right side
    2,670.07x = 2,893,187.66
  5. Step 5: Solve for x
    x = 2,893,187.66/2,670.07
  6. Step 6: Final answer
    x = 1,083.56

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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.