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Finding the Fourth Proportional to 2,655.91, 3,984.58 and 2,365.41

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Solution

The fourth proportional to 2,655.91, 3,984.58 and 2,365.41 is: 3,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.91 : 3,984.58 = 2,365.41 : x
  2. Step 2: Convert to fraction form
    2,655.91/3,984.58 = 2,365.41/x
  3. Step 3: Cross multiply
    2,655.91x = 3,984.58 × 2,365.41
  4. Step 4: Simplify right side
    2,655.91x = 9,425,155.22
  5. Step 5: Solve for x
    x = 9,425,155.22/2,655.91
  6. Step 6: Final answer
    x = 3,548.74

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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.