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Finding the Fourth Proportional to 2,130.06, 3,196.11 and 1,104.06

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Solution

The fourth proportional to 2,130.06, 3,196.11 and 1,104.06 is: 1,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.06 : 3,196.11 = 1,104.06 : x
  2. Step 2: Convert to fraction form
    2,130.06/3,196.11 = 1,104.06/x
  3. Step 3: Cross multiply
    2,130.06x = 3,196.11 × 1,104.06
  4. Step 4: Simplify right side
    2,130.06x = 3,528,697.21
  5. Step 5: Solve for x
    x = 3,528,697.21/2,130.06
  6. Step 6: Final answer
    x = 1,656.62

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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.