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Finding the Fourth Proportional to 3,117.70, 4,676.55 and 2,133.55

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Solution

The fourth proportional to 3,117.70, 4,676.55 and 2,133.55 is: 3,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.70 : 4,676.55 = 2,133.55 : x
  2. Step 2: Convert to fraction form
    3,117.70/4,676.55 = 2,133.55/x
  3. Step 3: Cross multiply
    3,117.70x = 4,676.55 × 2,133.55
  4. Step 4: Simplify right side
    3,117.70x = 9,977,653.25
  5. Step 5: Solve for x
    x = 9,977,653.25/3,117.70
  6. Step 6: Final answer
    x = 3,200.33

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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.