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Finding the Fourth Proportional to 1,440.67, 2,161.41 and 466.86

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Solution

The fourth proportional to 1,440.67, 2,161.41 and 466.86 is: 700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.67 : 2,161.41 = 466.86 : x
  2. Step 2: Convert to fraction form
    1,440.67/2,161.41 = 466.86/x
  3. Step 3: Cross multiply
    1,440.67x = 2,161.41 × 466.86
  4. Step 4: Simplify right side
    1,440.67x = 1,009,075.87
  5. Step 5: Solve for x
    x = 1,009,075.87/1,440.67
  6. Step 6: Final answer
    x = 700.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.