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Finding the Fourth Proportional to 2,656.40, 3,981.32 and 923

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Solution

The fourth proportional to 2,656.40, 3,981.32 and 923 is: 1,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.40 : 3,981.32 = 923 : x
  2. Step 2: Convert to fraction form
    2,656.40/3,981.32 = 923/x
  3. Step 3: Cross multiply
    2,656.40x = 3,981.32 × 923
  4. Step 4: Simplify right side
    2,656.40x = 3,674,758.36
  5. Step 5: Solve for x
    x = 3,674,758.36/2,656.40
  6. Step 6: Final answer
    x = 1,383.36

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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.