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Finding the Fourth Proportional to 1,684.23, 2,526.90 and 514.28

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Solution

The fourth proportional to 1,684.23, 2,526.90 and 514.28 is: 771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.23 : 2,526.90 = 514.28 : x
  2. Step 2: Convert to fraction form
    1,684.23/2,526.90 = 514.28/x
  3. Step 3: Cross multiply
    1,684.23x = 2,526.90 × 514.28
  4. Step 4: Simplify right side
    1,684.23x = 1,299,534.13
  5. Step 5: Solve for x
    x = 1,299,534.13/1,684.23
  6. Step 6: Final answer
    x = 771.59

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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.