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Finding the Fourth Proportional to 1,539.29, 2,309.45 and 661.39

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Solution

The fourth proportional to 1,539.29, 2,309.45 and 661.39 is: 992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.29 : 2,309.45 = 661.39 : x
  2. Step 2: Convert to fraction form
    1,539.29/2,309.45 = 661.39/x
  3. Step 3: Cross multiply
    1,539.29x = 2,309.45 × 661.39
  4. Step 4: Simplify right side
    1,539.29x = 1,527,438.05
  5. Step 5: Solve for x
    x = 1,527,438.05/1,539.29
  6. Step 6: Final answer
    x = 992.30

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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.