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Finding the Fourth Proportional to 1,684.14, 2,526.22 and 514.15

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Solution

The fourth proportional to 1,684.14, 2,526.22 and 514.15 is: 771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.14 : 2,526.22 = 514.15 : x
  2. Step 2: Convert to fraction form
    1,684.14/2,526.22 = 514.15/x
  3. Step 3: Cross multiply
    1,684.14x = 2,526.22 × 514.15
  4. Step 4: Simplify right side
    1,684.14x = 1,298,856.01
  5. Step 5: Solve for x
    x = 1,298,856.01/1,684.14
  6. Step 6: Final answer
    x = 771.23

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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.