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Finding the Fourth Proportional to 1,642.23, 2,464.35 and 950.25

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Solution

The fourth proportional to 1,642.23, 2,464.35 and 950.25 is: 1,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.23 : 2,464.35 = 950.25 : x
  2. Step 2: Convert to fraction form
    1,642.23/2,464.35 = 950.25/x
  3. Step 3: Cross multiply
    1,642.23x = 2,464.35 × 950.25
  4. Step 4: Simplify right side
    1,642.23x = 2,341,748.59
  5. Step 5: Solve for x
    x = 2,341,748.59/1,642.23
  6. Step 6: Final answer
    x = 1,425.96

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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.