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Finding the Fourth Proportional to 3,090.16, 4,264.49 and 1,763.99

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Solution

The fourth proportional to 3,090.16, 4,264.49 and 1,763.99 is: 2,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.16 : 4,264.49 = 1,763.99 : x
  2. Step 2: Convert to fraction form
    3,090.16/4,264.49 = 1,763.99/x
  3. Step 3: Cross multiply
    3,090.16x = 4,264.49 × 1,763.99
  4. Step 4: Simplify right side
    3,090.16x = 7,522,496.39
  5. Step 5: Solve for x
    x = 7,522,496.39/3,090.16
  6. Step 6: Final answer
    x = 2,434.34

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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.