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Finding the Fourth Proportional to 2,594.55, 3,888.69 and 950.21

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Solution

The fourth proportional to 2,594.55, 3,888.69 and 950.21 is: 1,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.55 : 3,888.69 = 950.21 : x
  2. Step 2: Convert to fraction form
    2,594.55/3,888.69 = 950.21/x
  3. Step 3: Cross multiply
    2,594.55x = 3,888.69 × 950.21
  4. Step 4: Simplify right side
    2,594.55x = 3,695,052.68
  5. Step 5: Solve for x
    x = 3,695,052.68/2,594.55
  6. Step 6: Final answer
    x = 1,424.16

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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.