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Finding the Fourth Proportional to 3,132.09, 4,696.76 and 940.30

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Solution

The fourth proportional to 3,132.09, 4,696.76 and 940.30 is: 1,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.09 : 4,696.76 = 940.30 : x
  2. Step 2: Convert to fraction form
    3,132.09/4,696.76 = 940.30/x
  3. Step 3: Cross multiply
    3,132.09x = 4,696.76 × 940.30
  4. Step 4: Simplify right side
    3,132.09x = 4,416,354.04
  5. Step 5: Solve for x
    x = 4,416,354.04/3,132.09
  6. Step 6: Final answer
    x = 1,410.03

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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.