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Finding the Fourth Proportional to 1,410.26, 1,945.53 and 912.92

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Solution

The fourth proportional to 1,410.26, 1,945.53 and 912.92 is: 1,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.26 : 1,945.53 = 912.92 : x
  2. Step 2: Convert to fraction form
    1,410.26/1,945.53 = 912.92/x
  3. Step 3: Cross multiply
    1,410.26x = 1,945.53 × 912.92
  4. Step 4: Simplify right side
    1,410.26x = 1,776,103.52
  5. Step 5: Solve for x
    x = 1,776,103.52/1,410.26
  6. Step 6: Final answer
    x = 1,259.42

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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.