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Finding the Fourth Proportional to 1,410.88, 1,947.10 and 1,039.54

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Solution

The fourth proportional to 1,410.88, 1,947.10 and 1,039.54 is: 1,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.88 : 1,947.10 = 1,039.54 : x
  2. Step 2: Convert to fraction form
    1,410.88/1,947.10 = 1,039.54/x
  3. Step 3: Cross multiply
    1,410.88x = 1,947.10 × 1,039.54
  4. Step 4: Simplify right side
    1,410.88x = 2,024,088.33
  5. Step 5: Solve for x
    x = 2,024,088.33/1,410.88
  6. Step 6: Final answer
    x = 1,434.63

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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.