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Finding the Fourth Proportional to 2,766.36, 3,814.44 and 2,547.60

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Solution

The fourth proportional to 2,766.36, 3,814.44 and 2,547.60 is: 3,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.36 : 3,814.44 = 2,547.60 : x
  2. Step 2: Convert to fraction form
    2,766.36/3,814.44 = 2,547.60/x
  3. Step 3: Cross multiply
    2,766.36x = 3,814.44 × 2,547.60
  4. Step 4: Simplify right side
    2,766.36x = 9,717,667.34
  5. Step 5: Solve for x
    x = 9,717,667.34/2,766.36
  6. Step 6: Final answer
    x = 3,512.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.