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Finding the Fourth Proportional to 2,709.25, 4,063.05 and 1,410.01

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Solution

The fourth proportional to 2,709.25, 4,063.05 and 1,410.01 is: 2,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.25 : 4,063.05 = 1,410.01 : x
  2. Step 2: Convert to fraction form
    2,709.25/4,063.05 = 1,410.01/x
  3. Step 3: Cross multiply
    2,709.25x = 4,063.05 × 1,410.01
  4. Step 4: Simplify right side
    2,709.25x = 5,728,941.13
  5. Step 5: Solve for x
    x = 5,728,941.13/2,709.25
  6. Step 6: Final answer
    x = 2,114.59

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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.