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Finding the Fourth Proportional to 2,196.53, 3,029.50 and 1,410.65

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Solution

The fourth proportional to 2,196.53, 3,029.50 and 1,410.65 is: 1,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.53 : 3,029.50 = 1,410.65 : x
  2. Step 2: Convert to fraction form
    2,196.53/3,029.50 = 1,410.65/x
  3. Step 3: Cross multiply
    2,196.53x = 3,029.50 × 1,410.65
  4. Step 4: Simplify right side
    2,196.53x = 4,273,564.18
  5. Step 5: Solve for x
    x = 4,273,564.18/2,196.53
  6. Step 6: Final answer
    x = 1,945.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.