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Finding the Fourth Proportional to 2,734.70, 3,774.10 and 1,740.02

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Solution

The fourth proportional to 2,734.70, 3,774.10 and 1,740.02 is: 2,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.70 : 3,774.10 = 1,740.02 : x
  2. Step 2: Convert to fraction form
    2,734.70/3,774.10 = 1,740.02/x
  3. Step 3: Cross multiply
    2,734.70x = 3,774.10 × 1,740.02
  4. Step 4: Simplify right side
    2,734.70x = 6,567,009.48
  5. Step 5: Solve for x
    x = 6,567,009.48/2,734.70
  6. Step 6: Final answer
    x = 2,401.36

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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.