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Finding the Fourth Proportional to 3,106.54, 4,654.34 and 1,438.95

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Solution

The fourth proportional to 3,106.54, 4,654.34 and 1,438.95 is: 2,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.54 : 4,654.34 = 1,438.95 : x
  2. Step 2: Convert to fraction form
    3,106.54/4,654.34 = 1,438.95/x
  3. Step 3: Cross multiply
    3,106.54x = 4,654.34 × 1,438.95
  4. Step 4: Simplify right side
    3,106.54x = 6,697,362.54
  5. Step 5: Solve for x
    x = 6,697,362.54/3,106.54
  6. Step 6: Final answer
    x = 2,155.89

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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.