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Finding the Fourth Proportional to 1,762.51, 2,643.71 and 838.73

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Solution

The fourth proportional to 1,762.51, 2,643.71 and 838.73 is: 1,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.51 : 2,643.71 = 838.73 : x
  2. Step 2: Convert to fraction form
    1,762.51/2,643.71 = 838.73/x
  3. Step 3: Cross multiply
    1,762.51x = 2,643.71 × 838.73
  4. Step 4: Simplify right side
    1,762.51x = 2,217,361.30
  5. Step 5: Solve for x
    x = 2,217,361.30/1,762.51
  6. Step 6: Final answer
    x = 1,258.07

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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.