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Finding the Fourth Proportional to 1,410.52, 1,945.92 and 886.36

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Solution

The fourth proportional to 1,410.52, 1,945.92 and 886.36 is: 1,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.52 : 1,945.92 = 886.36 : x
  2. Step 2: Convert to fraction form
    1,410.52/1,945.92 = 886.36/x
  3. Step 3: Cross multiply
    1,410.52x = 1,945.92 × 886.36
  4. Step 4: Simplify right side
    1,410.52x = 1,724,785.65
  5. Step 5: Solve for x
    x = 1,724,785.65/1,410.52
  6. Step 6: Final answer
    x = 1,222.80

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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.