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Finding the Fourth Proportional to 3,184.58, 4,774.14 and 1,209.10

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Solution

The fourth proportional to 3,184.58, 4,774.14 and 1,209.10 is: 1,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.58 : 4,774.14 = 1,209.10 : x
  2. Step 2: Convert to fraction form
    3,184.58/4,774.14 = 1,209.10/x
  3. Step 3: Cross multiply
    3,184.58x = 4,774.14 × 1,209.10
  4. Step 4: Simplify right side
    3,184.58x = 5,772,400.74
  5. Step 5: Solve for x
    x = 5,772,400.74/3,184.58
  6. Step 6: Final answer
    x = 1,812.61

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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.