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Finding the Fourth Proportional to 2,350.63, 3,525.85 and 769.35

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Solution

The fourth proportional to 2,350.63, 3,525.85 and 769.35 is: 1,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.63 : 3,525.85 = 769.35 : x
  2. Step 2: Convert to fraction form
    2,350.63/3,525.85 = 769.35/x
  3. Step 3: Cross multiply
    2,350.63x = 3,525.85 × 769.35
  4. Step 4: Simplify right side
    2,350.63x = 2,712,612.70
  5. Step 5: Solve for x
    x = 2,712,612.70/2,350.63
  6. Step 6: Final answer
    x = 1,153.99

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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.