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Finding the Fourth Proportional to 2,274.12, 3,411.06 and 735

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Solution

The fourth proportional to 2,274.12, 3,411.06 and 735 is: 1,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.12 : 3,411.06 = 735 : x
  2. Step 2: Convert to fraction form
    2,274.12/3,411.06 = 735/x
  3. Step 3: Cross multiply
    2,274.12x = 3,411.06 × 735
  4. Step 4: Simplify right side
    2,274.12x = 2,507,129.10
  5. Step 5: Solve for x
    x = 2,507,129.10/2,274.12
  6. Step 6: Final answer
    x = 1,102.46

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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.