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Finding the Fourth Proportional to 4,778, 7,167.48 and 1,657.60

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Solution

The fourth proportional to 4,778, 7,167.48 and 1,657.60 is: 2,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778 : 7,167.48 = 1,657.60 : x
  2. Step 2: Convert to fraction form
    4,778/7,167.48 = 1,657.60/x
  3. Step 3: Cross multiply
    4,778x = 7,167.48 × 1,657.60
  4. Step 4: Simplify right side
    4,778x = 11,880,814.85
  5. Step 5: Solve for x
    x = 11,880,814.85/4,778
  6. Step 6: Final answer
    x = 2,486.57

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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.