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Finding the Fourth Proportional to 3,184.89, 4,774.86 and 1,518.15

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Solution

The fourth proportional to 3,184.89, 4,774.86 and 1,518.15 is: 2,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.89 : 4,774.86 = 1,518.15 : x
  2. Step 2: Convert to fraction form
    3,184.89/4,774.86 = 1,518.15/x
  3. Step 3: Cross multiply
    3,184.89x = 4,774.86 × 1,518.15
  4. Step 4: Simplify right side
    3,184.89x = 7,248,946.12
  5. Step 5: Solve for x
    x = 7,248,946.12/3,184.89
  6. Step 6: Final answer
    x = 2,276.04

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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.