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Finding the Fourth Proportional to 3,090.19, 4,635.24 and 750.22

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Solution

The fourth proportional to 3,090.19, 4,635.24 and 750.22 is: 1,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.19 : 4,635.24 = 750.22 : x
  2. Step 2: Convert to fraction form
    3,090.19/4,635.24 = 750.22/x
  3. Step 3: Cross multiply
    3,090.19x = 4,635.24 × 750.22
  4. Step 4: Simplify right side
    3,090.19x = 3,477,433.05
  5. Step 5: Solve for x
    x = 3,477,433.05/3,090.19
  6. Step 6: Final answer
    x = 1,125.31

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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.