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Finding the Fourth Proportional to 3,184.95, 4,777.65 and 1,334.21

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Solution

The fourth proportional to 3,184.95, 4,777.65 and 1,334.21 is: 2,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.95 : 4,777.65 = 1,334.21 : x
  2. Step 2: Convert to fraction form
    3,184.95/4,777.65 = 1,334.21/x
  3. Step 3: Cross multiply
    3,184.95x = 4,777.65 × 1,334.21
  4. Step 4: Simplify right side
    3,184.95x = 6,374,376.46
  5. Step 5: Solve for x
    x = 6,374,376.46/3,184.95
  6. Step 6: Final answer
    x = 2,001.40

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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.