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Finding the Fourth Proportional to 4,102.95, 6,155.80 and 1,329.67

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Solution

The fourth proportional to 4,102.95, 6,155.80 and 1,329.67 is: 1,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.95 : 6,155.80 = 1,329.67 : x
  2. Step 2: Convert to fraction form
    4,102.95/6,155.80 = 1,329.67/x
  3. Step 3: Cross multiply
    4,102.95x = 6,155.80 × 1,329.67
  4. Step 4: Simplify right side
    4,102.95x = 8,185,152.33
  5. Step 5: Solve for x
    x = 8,185,152.33/4,102.95
  6. Step 6: Final answer
    x = 1,994.94

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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.