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Finding the Fourth Proportional to 3,280.08, 4,920.48 and 971.64

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Solution

The fourth proportional to 3,280.08, 4,920.48 and 971.64 is: 1,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.08 : 4,920.48 = 971.64 : x
  2. Step 2: Convert to fraction form
    3,280.08/4,920.48 = 971.64/x
  3. Step 3: Cross multiply
    3,280.08x = 4,920.48 × 971.64
  4. Step 4: Simplify right side
    3,280.08x = 4,780,935.19
  5. Step 5: Solve for x
    x = 4,780,935.19/3,280.08
  6. Step 6: Final answer
    x = 1,457.57

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1.5x scale

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.