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Finding the Fourth Proportional to 1,786.70, 2,465.57 and 1,040.65

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Solution

The fourth proportional to 1,786.70, 2,465.57 and 1,040.65 is: 1,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.70 : 2,465.57 = 1,040.65 : x
  2. Step 2: Convert to fraction form
    1,786.70/2,465.57 = 1,040.65/x
  3. Step 3: Cross multiply
    1,786.70x = 2,465.57 × 1,040.65
  4. Step 4: Simplify right side
    1,786.70x = 2,565,793.30
  5. Step 5: Solve for x
    x = 2,565,793.30/1,786.70
  6. Step 6: Final answer
    x = 1,436.06

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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.