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Finding the Fourth Proportional to 1,655.24, 2,284.43 and 992.43

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Solution

The fourth proportional to 1,655.24, 2,284.43 and 992.43 is: 1,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.24 : 2,284.43 = 992.43 : x
  2. Step 2: Convert to fraction form
    1,655.24/2,284.43 = 992.43/x
  3. Step 3: Cross multiply
    1,655.24x = 2,284.43 × 992.43
  4. Step 4: Simplify right side
    1,655.24x = 2,267,131.90
  5. Step 5: Solve for x
    x = 2,267,131.90/1,655.24
  6. Step 6: Final answer
    x = 1,369.67

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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.