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Finding the Fourth Proportional to 1,649.10, 2,474.26 and 771.89

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Solution

The fourth proportional to 1,649.10, 2,474.26 and 771.89 is: 1,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.10 : 2,474.26 = 771.89 : x
  2. Step 2: Convert to fraction form
    1,649.10/2,474.26 = 771.89/x
  3. Step 3: Cross multiply
    1,649.10x = 2,474.26 × 771.89
  4. Step 4: Simplify right side
    1,649.10x = 1,909,860.51
  5. Step 5: Solve for x
    x = 1,909,860.51/1,649.10
  6. Step 6: Final answer
    x = 1,158.12

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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.