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Finding the Fourth Proportional to 1,682.90, 2,525.39 and 913.94

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Solution

The fourth proportional to 1,682.90, 2,525.39 and 913.94 is: 1,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.90 : 2,525.39 = 913.94 : x
  2. Step 2: Convert to fraction form
    1,682.90/2,525.39 = 913.94/x
  3. Step 3: Cross multiply
    1,682.90x = 2,525.39 × 913.94
  4. Step 4: Simplify right side
    1,682.90x = 2,308,054.94
  5. Step 5: Solve for x
    x = 2,308,054.94/1,682.90
  6. Step 6: Final answer
    x = 1,371.47

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1.5x scale

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.