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Finding the Fourth Proportional to 2,957.76, 4,426.74 and 2,222.28

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Solution

The fourth proportional to 2,957.76, 4,426.74 and 2,222.28 is: 3,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.76 : 4,426.74 = 2,222.28 : x
  2. Step 2: Convert to fraction form
    2,957.76/4,426.74 = 2,222.28/x
  3. Step 3: Cross multiply
    2,957.76x = 4,426.74 × 2,222.28
  4. Step 4: Simplify right side
    2,957.76x = 9,837,455.77
  5. Step 5: Solve for x
    x = 9,837,455.77/2,957.76
  6. Step 6: Final answer
    x = 3,325.98

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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.