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Finding the Fourth Proportional to 1,541.41, 2,127.39 and 982.13

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Solution

The fourth proportional to 1,541.41, 2,127.39 and 982.13 is: 1,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.41 : 2,127.39 = 982.13 : x
  2. Step 2: Convert to fraction form
    1,541.41/2,127.39 = 982.13/x
  3. Step 3: Cross multiply
    1,541.41x = 2,127.39 × 982.13
  4. Step 4: Simplify right side
    1,541.41x = 2,089,359.22
  5. Step 5: Solve for x
    x = 2,089,359.22/1,541.41
  6. Step 6: Final answer
    x = 1,355.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.