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Finding the Fourth Proportional to 2,280.64, 3,420.96 and 549.27

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Solution

The fourth proportional to 2,280.64, 3,420.96 and 549.27 is: 823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.64 : 3,420.96 = 549.27 : x
  2. Step 2: Convert to fraction form
    2,280.64/3,420.96 = 549.27/x
  3. Step 3: Cross multiply
    2,280.64x = 3,420.96 × 549.27
  4. Step 4: Simplify right side
    2,280.64x = 1,879,030.70
  5. Step 5: Solve for x
    x = 1,879,030.70/2,280.64
  6. Step 6: Final answer
    x = 823.91

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Why These Related Problems?

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