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Finding the Fourth Proportional to 1,747.42, 2,621.14 and 650.50

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Solution

The fourth proportional to 1,747.42, 2,621.14 and 650.50 is: 975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.42 : 2,621.14 = 650.50 : x
  2. Step 2: Convert to fraction form
    1,747.42/2,621.14 = 650.50/x
  3. Step 3: Cross multiply
    1,747.42x = 2,621.14 × 650.50
  4. Step 4: Simplify right side
    1,747.42x = 1,705,051.57
  5. Step 5: Solve for x
    x = 1,705,051.57/1,747.42
  6. Step 6: Final answer
    x = 975.75

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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.