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Finding the Fourth Proportional to 1,684.71, 2,524.60 and 950.53

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Solution

The fourth proportional to 1,684.71, 2,524.60 and 950.53 is: 1,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.71 : 2,524.60 = 950.53 : x
  2. Step 2: Convert to fraction form
    1,684.71/2,524.60 = 950.53/x
  3. Step 3: Cross multiply
    1,684.71x = 2,524.60 × 950.53
  4. Step 4: Simplify right side
    1,684.71x = 2,399,708.04
  5. Step 5: Solve for x
    x = 2,399,708.04/1,684.71
  6. Step 6: Final answer
    x = 1,424.40

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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.