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Finding the Fourth Proportional to 3,280.14, 4,921.02 and 971.64

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Solution

The fourth proportional to 3,280.14, 4,921.02 and 971.64 is: 1,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.14 : 4,921.02 = 971.64 : x
  2. Step 2: Convert to fraction form
    3,280.14/4,921.02 = 971.64/x
  3. Step 3: Cross multiply
    3,280.14x = 4,921.02 × 971.64
  4. Step 4: Simplify right side
    3,280.14x = 4,781,459.87
  5. Step 5: Solve for x
    x = 4,781,459.87/3,280.14
  6. Step 6: Final answer
    x = 1,457.70

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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.