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Finding the Fourth Proportional to 2,670.54, 4,005.26 and 722.29

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Solution

The fourth proportional to 2,670.54, 4,005.26 and 722.29 is: 1,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.54 : 4,005.26 = 722.29 : x
  2. Step 2: Convert to fraction form
    2,670.54/4,005.26 = 722.29/x
  3. Step 3: Cross multiply
    2,670.54x = 4,005.26 × 722.29
  4. Step 4: Simplify right side
    2,670.54x = 2,892,959.25
  5. Step 5: Solve for x
    x = 2,892,959.25/2,670.54
  6. Step 6: Final answer
    x = 1,083.29

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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.