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Finding the Fourth Proportional to 2,088.25, 3,132.38 and 549.25

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Solution

The fourth proportional to 2,088.25, 3,132.38 and 549.25 is: 823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.25 : 3,132.38 = 549.25 : x
  2. Step 2: Convert to fraction form
    2,088.25/3,132.38 = 549.25/x
  3. Step 3: Cross multiply
    2,088.25x = 3,132.38 × 549.25
  4. Step 4: Simplify right side
    2,088.25x = 1,720,459.72
  5. Step 5: Solve for x
    x = 1,720,459.72/2,088.25
  6. Step 6: Final answer
    x = 823.88

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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.