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Finding the Fourth Proportional to 2,903.18, 4,006.73 and 1,724.25

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Solution

The fourth proportional to 2,903.18, 4,006.73 and 1,724.25 is: 2,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.18 : 4,006.73 = 1,724.25 : x
  2. Step 2: Convert to fraction form
    2,903.18/4,006.73 = 1,724.25/x
  3. Step 3: Cross multiply
    2,903.18x = 4,006.73 × 1,724.25
  4. Step 4: Simplify right side
    2,903.18x = 6,908,591.30
  5. Step 5: Solve for x
    x = 6,908,591.30/2,903.18
  6. Step 6: Final answer
    x = 2,379.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.