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Finding the Fourth Proportional to 2,271.62, 3,405.54 and 972.92

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Solution

The fourth proportional to 2,271.62, 3,405.54 and 972.92 is: 1,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.62 : 3,405.54 = 972.92 : x
  2. Step 2: Convert to fraction form
    2,271.62/3,405.54 = 972.92/x
  3. Step 3: Cross multiply
    2,271.62x = 3,405.54 × 972.92
  4. Step 4: Simplify right side
    2,271.62x = 3,313,317.98
  5. Step 5: Solve for x
    x = 3,313,317.98/2,271.62
  6. Step 6: Final answer
    x = 1,458.57

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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.