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Finding the Fourth Proportional to 1,539.40, 2,309.40 and 661.90

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Solution

The fourth proportional to 1,539.40, 2,309.40 and 661.90 is: 992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.40 : 2,309.40 = 661.90 : x
  2. Step 2: Convert to fraction form
    1,539.40/2,309.40 = 661.90/x
  3. Step 3: Cross multiply
    1,539.40x = 2,309.40 × 661.90
  4. Step 4: Simplify right side
    1,539.40x = 1,528,591.86
  5. Step 5: Solve for x
    x = 1,528,591.86/1,539.40
  6. Step 6: Final answer
    x = 992.98

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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.