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Finding the Fourth Proportional to 2,903.16, 4,006.38 and 1,768.50

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Solution

The fourth proportional to 2,903.16, 4,006.38 and 1,768.50 is: 2,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.16 : 4,006.38 = 1,768.50 : x
  2. Step 2: Convert to fraction form
    2,903.16/4,006.38 = 1,768.50/x
  3. Step 3: Cross multiply
    2,903.16x = 4,006.38 × 1,768.50
  4. Step 4: Simplify right side
    2,903.16x = 7,085,283.03
  5. Step 5: Solve for x
    x = 7,085,283.03/2,903.16
  6. Step 6: Final answer
    x = 2,440.54

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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.