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Finding the Fourth Proportional to 3,130.94, 4,687.06 and 1,894.60

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Solution

The fourth proportional to 3,130.94, 4,687.06 and 1,894.60 is: 2,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.94 : 4,687.06 = 1,894.60 : x
  2. Step 2: Convert to fraction form
    3,130.94/4,687.06 = 1,894.60/x
  3. Step 3: Cross multiply
    3,130.94x = 4,687.06 × 1,894.60
  4. Step 4: Simplify right side
    3,130.94x = 8,880,103.88
  5. Step 5: Solve for x
    x = 8,880,103.88/3,130.94
  6. Step 6: Final answer
    x = 2,836.24

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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.