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Finding the Fourth Proportional to 2,655.35, 3,984.23 and 1,876.94

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Solution

The fourth proportional to 2,655.35, 3,984.23 and 1,876.94 is: 2,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.35 : 3,984.23 = 1,876.94 : x
  2. Step 2: Convert to fraction form
    2,655.35/3,984.23 = 1,876.94/x
  3. Step 3: Cross multiply
    2,655.35x = 3,984.23 × 1,876.94
  4. Step 4: Simplify right side
    2,655.35x = 7,478,145.43
  5. Step 5: Solve for x
    x = 7,478,145.43/2,655.35
  6. Step 6: Final answer
    x = 2,816.26

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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.