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Finding the Fourth Proportional to 1,427.83, 2,141.97 and 454.16

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Solution

The fourth proportional to 1,427.83, 2,141.97 and 454.16 is: 681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.83 : 2,141.97 = 454.16 : x
  2. Step 2: Convert to fraction form
    1,427.83/2,141.97 = 454.16/x
  3. Step 3: Cross multiply
    1,427.83x = 2,141.97 × 454.16
  4. Step 4: Simplify right side
    1,427.83x = 972,797.10
  5. Step 5: Solve for x
    x = 972,797.10/1,427.83
  6. Step 6: Final answer
    x = 681.31

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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.