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Finding the Fourth Proportional to 4,783.78, 7,175.85 and 1,663.66

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Solution

The fourth proportional to 4,783.78, 7,175.85 and 1,663.66 is: 2,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.78 : 7,175.85 = 1,663.66 : x
  2. Step 2: Convert to fraction form
    4,783.78/7,175.85 = 1,663.66/x
  3. Step 3: Cross multiply
    4,783.78x = 7,175.85 × 1,663.66
  4. Step 4: Simplify right side
    4,783.78x = 11,938,174.61
  5. Step 5: Solve for x
    x = 11,938,174.61/4,783.78
  6. Step 6: Final answer
    x = 2,495.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.