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Finding the Fourth Proportional to 4,345.76, 6,519.60 and 1,268

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Solution

The fourth proportional to 4,345.76, 6,519.60 and 1,268 is: 1,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.76 : 6,519.60 = 1,268 : x
  2. Step 2: Convert to fraction form
    4,345.76/6,519.60 = 1,268/x
  3. Step 3: Cross multiply
    4,345.76x = 6,519.60 × 1,268
  4. Step 4: Simplify right side
    4,345.76x = 8,266,852.80
  5. Step 5: Solve for x
    x = 8,266,852.80/4,345.76
  6. Step 6: Final answer
    x = 1,902.28

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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.