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Finding the Fourth Proportional to 1,540.02, 2,309.10 and 649.48

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Solution

The fourth proportional to 1,540.02, 2,309.10 and 649.48 is: 973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.02 : 2,309.10 = 649.48 : x
  2. Step 2: Convert to fraction form
    1,540.02/2,309.10 = 649.48/x
  3. Step 3: Cross multiply
    1,540.02x = 2,309.10 × 649.48
  4. Step 4: Simplify right side
    1,540.02x = 1,499,720.49
  5. Step 5: Solve for x
    x = 1,499,720.49/1,540.02
  6. Step 6: Final answer
    x = 973.83

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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.