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Finding the Fourth Proportional to 1,639.32, 2,261.74 and 940.64

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Solution

The fourth proportional to 1,639.32, 2,261.74 and 940.64 is: 1,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.32 : 2,261.74 = 940.64 : x
  2. Step 2: Convert to fraction form
    1,639.32/2,261.74 = 940.64/x
  3. Step 3: Cross multiply
    1,639.32x = 2,261.74 × 940.64
  4. Step 4: Simplify right side
    1,639.32x = 2,127,483.11
  5. Step 5: Solve for x
    x = 2,127,483.11/1,639.32
  6. Step 6: Final answer
    x = 1,297.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.