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Finding the Fourth Proportional to 2,258.84, 3,388.78 and 1,218.82

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Solution

The fourth proportional to 2,258.84, 3,388.78 and 1,218.82 is: 1,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.84 : 3,388.78 = 1,218.82 : x
  2. Step 2: Convert to fraction form
    2,258.84/3,388.78 = 1,218.82/x
  3. Step 3: Cross multiply
    2,258.84x = 3,388.78 × 1,218.82
  4. Step 4: Simplify right side
    2,258.84x = 4,130,312.84
  5. Step 5: Solve for x
    x = 4,130,312.84/2,258.84
  6. Step 6: Final answer
    x = 1,828.51

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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.