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Finding the Fourth Proportional to 1,646.12, 2,464.36 and 950.67

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Solution

The fourth proportional to 1,646.12, 2,464.36 and 950.67 is: 1,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.12 : 2,464.36 = 950.67 : x
  2. Step 2: Convert to fraction form
    1,646.12/2,464.36 = 950.67/x
  3. Step 3: Cross multiply
    1,646.12x = 2,464.36 × 950.67
  4. Step 4: Simplify right side
    1,646.12x = 2,342,790.74
  5. Step 5: Solve for x
    x = 2,342,790.74/1,646.12
  6. Step 6: Final answer
    x = 1,423.22

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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.