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Finding the Fourth Proportional to 2,766.67, 4,154.74 and 1,848.13

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Solution

The fourth proportional to 2,766.67, 4,154.74 and 1,848.13 is: 2,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.67 : 4,154.74 = 1,848.13 : x
  2. Step 2: Convert to fraction form
    2,766.67/4,154.74 = 1,848.13/x
  3. Step 3: Cross multiply
    2,766.67x = 4,154.74 × 1,848.13
  4. Step 4: Simplify right side
    2,766.67x = 7,678,499.64
  5. Step 5: Solve for x
    x = 7,678,499.64/2,766.67
  6. Step 6: Final answer
    x = 2,775.36

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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.