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Finding the Fourth Proportional to 1,340.03, 1,849.46 and 780.86

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Solution

The fourth proportional to 1,340.03, 1,849.46 and 780.86 is: 1,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.03 : 1,849.46 = 780.86 : x
  2. Step 2: Convert to fraction form
    1,340.03/1,849.46 = 780.86/x
  3. Step 3: Cross multiply
    1,340.03x = 1,849.46 × 780.86
  4. Step 4: Simplify right side
    1,340.03x = 1,444,169.34
  5. Step 5: Solve for x
    x = 1,444,169.34/1,340.03
  6. Step 6: Final answer
    x = 1,077.71

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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.