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Finding the Fourth Proportional to 1,684.14, 2,523.03 and 951.51

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Solution

The fourth proportional to 1,684.14, 2,523.03 and 951.51 is: 1,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.14 : 2,523.03 = 951.51 : x
  2. Step 2: Convert to fraction form
    1,684.14/2,523.03 = 951.51/x
  3. Step 3: Cross multiply
    1,684.14x = 2,523.03 × 951.51
  4. Step 4: Simplify right side
    1,684.14x = 2,400,688.28
  5. Step 5: Solve for x
    x = 2,400,688.28/1,684.14
  6. Step 6: Final answer
    x = 1,425.47

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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.