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Finding the Fourth Proportional to 1,617.89, 2,232.10 and 918.86

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Solution

The fourth proportional to 1,617.89, 2,232.10 and 918.86 is: 1,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.89 : 2,232.10 = 918.86 : x
  2. Step 2: Convert to fraction form
    1,617.89/2,232.10 = 918.86/x
  3. Step 3: Cross multiply
    1,617.89x = 2,232.10 × 918.86
  4. Step 4: Simplify right side
    1,617.89x = 2,050,987.41
  5. Step 5: Solve for x
    x = 2,050,987.41/1,617.89
  6. Step 6: Final answer
    x = 1,267.69

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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.