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Finding the Fourth Proportional to 4,567.78, 6,851.60 and 1,105

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Solution

The fourth proportional to 4,567.78, 6,851.60 and 1,105 is: 1,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.78 : 6,851.60 = 1,105 : x
  2. Step 2: Convert to fraction form
    4,567.78/6,851.60 = 1,105/x
  3. Step 3: Cross multiply
    4,567.78x = 6,851.60 × 1,105
  4. Step 4: Simplify right side
    4,567.78x = 7,571,018
  5. Step 5: Solve for x
    x = 7,571,018/4,567.78
  6. Step 6: Final answer
    x = 1,657.48

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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.