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Finding the Fourth Proportional to 3,214.62, 4,435.71 and 1,888.02

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Solution

The fourth proportional to 3,214.62, 4,435.71 and 1,888.02 is: 2,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.62 : 4,435.71 = 1,888.02 : x
  2. Step 2: Convert to fraction form
    3,214.62/4,435.71 = 1,888.02/x
  3. Step 3: Cross multiply
    3,214.62x = 4,435.71 × 1,888.02
  4. Step 4: Simplify right side
    3,214.62x = 8,374,709.19
  5. Step 5: Solve for x
    x = 8,374,709.19/3,214.62
  6. Step 6: Final answer
    x = 2,605.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.