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Finding the Fourth Proportional to 2,130.11, 3,195.40 and 649.33

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Solution

The fourth proportional to 2,130.11, 3,195.40 and 649.33 is: 974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.11 : 3,195.40 = 649.33 : x
  2. Step 2: Convert to fraction form
    2,130.11/3,195.40 = 649.33/x
  3. Step 3: Cross multiply
    2,130.11x = 3,195.40 × 649.33
  4. Step 4: Simplify right side
    2,130.11x = 2,074,878.66
  5. Step 5: Solve for x
    x = 2,074,878.66/2,130.11
  6. Step 6: Final answer
    x = 974.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.