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Finding the Fourth Proportional to 1,883.42, 2,600.36 and 1,176.34

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Solution

The fourth proportional to 1,883.42, 2,600.36 and 1,176.34 is: 1,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.42 : 2,600.36 = 1,176.34 : x
  2. Step 2: Convert to fraction form
    1,883.42/2,600.36 = 1,176.34/x
  3. Step 3: Cross multiply
    1,883.42x = 2,600.36 × 1,176.34
  4. Step 4: Simplify right side
    1,883.42x = 3,058,907.48
  5. Step 5: Solve for x
    x = 3,058,907.48/1,883.42
  6. Step 6: Final answer
    x = 1,624.12

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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.