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Finding the Fourth Proportional to 2,088.12, 3,131.94 and 549.24

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Solution

The fourth proportional to 2,088.12, 3,131.94 and 549.24 is: 823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.12 : 3,131.94 = 549.24 : x
  2. Step 2: Convert to fraction form
    2,088.12/3,131.94 = 549.24/x
  3. Step 3: Cross multiply
    2,088.12x = 3,131.94 × 549.24
  4. Step 4: Simplify right side
    2,088.12x = 1,720,186.73
  5. Step 5: Solve for x
    x = 1,720,186.73/2,088.12
  6. Step 6: Final answer
    x = 823.80

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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.