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Finding the Fourth Proportional to 3,207.69, 4,810.98 and 2,280.45

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Solution

The fourth proportional to 3,207.69, 4,810.98 and 2,280.45 is: 3,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.69 : 4,810.98 = 2,280.45 : x
  2. Step 2: Convert to fraction form
    3,207.69/4,810.98 = 2,280.45/x
  3. Step 3: Cross multiply
    3,207.69x = 4,810.98 × 2,280.45
  4. Step 4: Simplify right side
    3,207.69x = 10,971,199.34
  5. Step 5: Solve for x
    x = 10,971,199.34/3,207.69
  6. Step 6: Final answer
    x = 3,420.28

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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.