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Finding the Fourth Proportional to 2,280.91, 3,421.37 and 549.54

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Solution

The fourth proportional to 2,280.91, 3,421.37 and 549.54 is: 824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.91 : 3,421.37 = 549.54 : x
  2. Step 2: Convert to fraction form
    2,280.91/3,421.37 = 549.54/x
  3. Step 3: Cross multiply
    2,280.91x = 3,421.37 × 549.54
  4. Step 4: Simplify right side
    2,280.91x = 1,880,175.13
  5. Step 5: Solve for x
    x = 1,880,175.13/2,280.91
  6. Step 6: Final answer
    x = 824.31

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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.