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Finding the Fourth Proportional to 2,216.40, 3,322.74 and 1,045.74

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Solution

The fourth proportional to 2,216.40, 3,322.74 and 1,045.74 is: 1,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.40 : 3,322.74 = 1,045.74 : x
  2. Step 2: Convert to fraction form
    2,216.40/3,322.74 = 1,045.74/x
  3. Step 3: Cross multiply
    2,216.40x = 3,322.74 × 1,045.74
  4. Step 4: Simplify right side
    2,216.40x = 3,474,722.13
  5. Step 5: Solve for x
    x = 3,474,722.13/2,216.40
  6. Step 6: Final answer
    x = 1,567.73

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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.