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Finding the Fourth Proportional to 2,352.47, 3,528.27 and 891.14

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Solution

The fourth proportional to 2,352.47, 3,528.27 and 891.14 is: 1,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.47 : 3,528.27 = 891.14 : x
  2. Step 2: Convert to fraction form
    2,352.47/3,528.27 = 891.14/x
  3. Step 3: Cross multiply
    2,352.47x = 3,528.27 × 891.14
  4. Step 4: Simplify right side
    2,352.47x = 3,144,164.89
  5. Step 5: Solve for x
    x = 3,144,164.89/2,352.47
  6. Step 6: Final answer
    x = 1,336.54

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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.