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Finding the Fourth Proportional to 3,114.28, 4,673.04 and 1,382.50

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Solution

The fourth proportional to 3,114.28, 4,673.04 and 1,382.50 is: 2,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.28 : 4,673.04 = 1,382.50 : x
  2. Step 2: Convert to fraction form
    3,114.28/4,673.04 = 1,382.50/x
  3. Step 3: Cross multiply
    3,114.28x = 4,673.04 × 1,382.50
  4. Step 4: Simplify right side
    3,114.28x = 6,460,477.80
  5. Step 5: Solve for x
    x = 6,460,477.80/3,114.28
  6. Step 6: Final answer
    x = 2,074.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.