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Finding the Fourth Proportional to 1,410.31, 1,945.04 and 1,057.06

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Solution

The fourth proportional to 1,410.31, 1,945.04 and 1,057.06 is: 1,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.31 : 1,945.04 = 1,057.06 : x
  2. Step 2: Convert to fraction form
    1,410.31/1,945.04 = 1,057.06/x
  3. Step 3: Cross multiply
    1,410.31x = 1,945.04 × 1,057.06
  4. Step 4: Simplify right side
    1,410.31x = 2,056,023.98
  5. Step 5: Solve for x
    x = 2,056,023.98/1,410.31
  6. Step 6: Final answer
    x = 1,457.85

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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.