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Finding the Fourth Proportional to 2,903.50, 4,007.16 and 1,645.06

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Solution

The fourth proportional to 2,903.50, 4,007.16 and 1,645.06 is: 2,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.50 : 4,007.16 = 1,645.06 : x
  2. Step 2: Convert to fraction form
    2,903.50/4,007.16 = 1,645.06/x
  3. Step 3: Cross multiply
    2,903.50x = 4,007.16 × 1,645.06
  4. Step 4: Simplify right side
    2,903.50x = 6,592,018.63
  5. Step 5: Solve for x
    x = 6,592,018.63/2,903.50
  6. Step 6: Final answer
    x = 2,270.37

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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.