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Finding the Fourth Proportional to 1,431.96, 1,973.34 and 1,017.24

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Solution

The fourth proportional to 1,431.96, 1,973.34 and 1,017.24 is: 1,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.96 : 1,973.34 = 1,017.24 : x
  2. Step 2: Convert to fraction form
    1,431.96/1,973.34 = 1,017.24/x
  3. Step 3: Cross multiply
    1,431.96x = 1,973.34 × 1,017.24
  4. Step 4: Simplify right side
    1,431.96x = 2,007,360.38
  5. Step 5: Solve for x
    x = 2,007,360.38/1,431.96
  6. Step 6: Final answer
    x = 1,401.83

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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.