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Finding the Fourth Proportional to 2,130.13, 3,195.20 and 649.36

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Solution

The fourth proportional to 2,130.13, 3,195.20 and 649.36 is: 974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.13 : 3,195.20 = 649.36 : x
  2. Step 2: Convert to fraction form
    2,130.13/3,195.20 = 649.36/x
  3. Step 3: Cross multiply
    2,130.13x = 3,195.20 × 649.36
  4. Step 4: Simplify right side
    2,130.13x = 2,074,835.07
  5. Step 5: Solve for x
    x = 2,074,835.07/2,130.13
  6. Step 6: Final answer
    x = 974.04

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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.