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Finding the Fourth Proportional to 3,258.34, 4,887.51 and 918.34

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Solution

The fourth proportional to 3,258.34, 4,887.51 and 918.34 is: 1,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.34 : 4,887.51 = 918.34 : x
  2. Step 2: Convert to fraction form
    3,258.34/4,887.51 = 918.34/x
  3. Step 3: Cross multiply
    3,258.34x = 4,887.51 × 918.34
  4. Step 4: Simplify right side
    3,258.34x = 4,488,395.93
  5. Step 5: Solve for x
    x = 4,488,395.93/3,258.34
  6. Step 6: Final answer
    x = 1,377.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.