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Finding the Fourth Proportional to 2,774.89, 3,829.38 and 1,656.47

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Solution

The fourth proportional to 2,774.89, 3,829.38 and 1,656.47 is: 2,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.89 : 3,829.38 = 1,656.47 : x
  2. Step 2: Convert to fraction form
    2,774.89/3,829.38 = 1,656.47/x
  3. Step 3: Cross multiply
    2,774.89x = 3,829.38 × 1,656.47
  4. Step 4: Simplify right side
    2,774.89x = 6,343,234.91
  5. Step 5: Solve for x
    x = 6,343,234.91/2,774.89
  6. Step 6: Final answer
    x = 2,285.94

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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.