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Finding the Fourth Proportional to 2,686.99, 3,708.84 and 1,742.84

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Solution

The fourth proportional to 2,686.99, 3,708.84 and 1,742.84 is: 2,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.99 : 3,708.84 = 1,742.84 : x
  2. Step 2: Convert to fraction form
    2,686.99/3,708.84 = 1,742.84/x
  3. Step 3: Cross multiply
    2,686.99x = 3,708.84 × 1,742.84
  4. Step 4: Simplify right side
    2,686.99x = 6,463,914.71
  5. Step 5: Solve for x
    x = 6,463,914.71/2,686.99
  6. Step 6: Final answer
    x = 2,405.63

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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.