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Finding the Fourth Proportional to 2,258.34, 3,388.03 and 1,218.32

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Solution

The fourth proportional to 2,258.34, 3,388.03 and 1,218.32 is: 1,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.34 : 3,388.03 = 1,218.32 : x
  2. Step 2: Convert to fraction form
    2,258.34/3,388.03 = 1,218.32/x
  3. Step 3: Cross multiply
    2,258.34x = 3,388.03 × 1,218.32
  4. Step 4: Simplify right side
    2,258.34x = 4,127,704.71
  5. Step 5: Solve for x
    x = 4,127,704.71/2,258.34
  6. Step 6: Final answer
    x = 1,827.76

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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.