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Finding the Fourth Proportional to 2,969.65, 4,453.17 and 1,410.10

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Solution

The fourth proportional to 2,969.65, 4,453.17 and 1,410.10 is: 2,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.65 : 4,453.17 = 1,410.10 : x
  2. Step 2: Convert to fraction form
    2,969.65/4,453.17 = 1,410.10/x
  3. Step 3: Cross multiply
    2,969.65x = 4,453.17 × 1,410.10
  4. Step 4: Simplify right side
    2,969.65x = 6,279,392.75
  5. Step 5: Solve for x
    x = 6,279,392.75/2,969.65
  6. Step 6: Final answer
    x = 2,114.53

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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.