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Finding the Fourth Proportional to 4,130.65, 6,196.90 and 1,209.18

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Solution

The fourth proportional to 4,130.65, 6,196.90 and 1,209.18 is: 1,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.65 : 6,196.90 = 1,209.18 : x
  2. Step 2: Convert to fraction form
    4,130.65/6,196.90 = 1,209.18/x
  3. Step 3: Cross multiply
    4,130.65x = 6,196.90 × 1,209.18
  4. Step 4: Simplify right side
    4,130.65x = 7,493,167.54
  5. Step 5: Solve for x
    x = 7,493,167.54/4,130.65
  6. Step 6: Final answer
    x = 1,814.04

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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.