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Finding the Fourth Proportional to 3,280.30, 4,920.08 and 971.62

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Solution

The fourth proportional to 3,280.30, 4,920.08 and 971.62 is: 1,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.30 : 4,920.08 = 971.62 : x
  2. Step 2: Convert to fraction form
    3,280.30/4,920.08 = 971.62/x
  3. Step 3: Cross multiply
    3,280.30x = 4,920.08 × 971.62
  4. Step 4: Simplify right side
    3,280.30x = 4,780,448.13
  5. Step 5: Solve for x
    x = 4,780,448.13/3,280.30
  6. Step 6: Final answer
    x = 1,457.32

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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.