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Finding the Fourth Proportional to 3,271.07, 4,513.95 and 1,778.99

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Solution

The fourth proportional to 3,271.07, 4,513.95 and 1,778.99 is: 2,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.07 : 4,513.95 = 1,778.99 : x
  2. Step 2: Convert to fraction form
    3,271.07/4,513.95 = 1,778.99/x
  3. Step 3: Cross multiply
    3,271.07x = 4,513.95 × 1,778.99
  4. Step 4: Simplify right side
    3,271.07x = 8,030,244.34
  5. Step 5: Solve for x
    x = 8,030,244.34/3,271.07
  6. Step 6: Final answer
    x = 2,454.93

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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.