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Finding the Fourth Proportional to 2,141.25, 3,208.62 and 1,526.25

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Solution

The fourth proportional to 2,141.25, 3,208.62 and 1,526.25 is: 2,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.25 : 3,208.62 = 1,526.25 : x
  2. Step 2: Convert to fraction form
    2,141.25/3,208.62 = 1,526.25/x
  3. Step 3: Cross multiply
    2,141.25x = 3,208.62 × 1,526.25
  4. Step 4: Simplify right side
    2,141.25x = 4,897,148.64
  5. Step 5: Solve for x
    x = 4,897,148.64/2,141.25
  6. Step 6: Final answer
    x = 2,287.05

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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.