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Finding the Fourth Proportional to 1,760.13, 2,641.19 and 786.16

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Solution

The fourth proportional to 1,760.13, 2,641.19 and 786.16 is: 1,179.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.13 : 2,641.19 = 786.16 : x
  2. Step 2: Convert to fraction form
    1,760.13/2,641.19 = 786.16/x
  3. Step 3: Cross multiply
    1,760.13x = 2,641.19 × 786.16
  4. Step 4: Simplify right side
    1,760.13x = 2,076,397.93
  5. Step 5: Solve for x
    x = 2,076,397.93/1,760.13
  6. Step 6: Final answer
    x = 1,179.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.