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Finding the Fourth Proportional to 3,980.63, 5,970.96 and 1,207.33

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Solution

The fourth proportional to 3,980.63, 5,970.96 and 1,207.33 is: 1,810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.63 : 5,970.96 = 1,207.33 : x
  2. Step 2: Convert to fraction form
    3,980.63/5,970.96 = 1,207.33/x
  3. Step 3: Cross multiply
    3,980.63x = 5,970.96 × 1,207.33
  4. Step 4: Simplify right side
    3,980.63x = 7,208,904.21
  5. Step 5: Solve for x
    x = 7,208,904.21/3,980.63
  6. Step 6: Final answer
    x = 1,810.99

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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.