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Finding the Fourth Proportional to 1,411.09, 2,116.64 and 371.03

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Solution

The fourth proportional to 1,411.09, 2,116.64 and 371.03 is: 556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.09 : 2,116.64 = 371.03 : x
  2. Step 2: Convert to fraction form
    1,411.09/2,116.64 = 371.03/x
  3. Step 3: Cross multiply
    1,411.09x = 2,116.64 × 371.03
  4. Step 4: Simplify right side
    1,411.09x = 785,327.28
  5. Step 5: Solve for x
    x = 785,327.28/1,411.09
  6. Step 6: Final answer
    x = 556.54

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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.