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Finding the Fourth Proportional to 2,684.60, 3,703.49 and 1,740.69

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Solution

The fourth proportional to 2,684.60, 3,703.49 and 1,740.69 is: 2,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.60 : 3,703.49 = 1,740.69 : x
  2. Step 2: Convert to fraction form
    2,684.60/3,703.49 = 1,740.69/x
  3. Step 3: Cross multiply
    2,684.60x = 3,703.49 × 1,740.69
  4. Step 4: Simplify right side
    2,684.60x = 6,446,628.01
  5. Step 5: Solve for x
    x = 6,446,628.01/2,684.60
  6. Step 6: Final answer
    x = 2,401.34

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1.5x scale

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.