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Finding the Fourth Proportional to 2,541.70, 3,812.64 and 810.28

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Solution

The fourth proportional to 2,541.70, 3,812.64 and 810.28 is: 1,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.70 : 3,812.64 = 810.28 : x
  2. Step 2: Convert to fraction form
    2,541.70/3,812.64 = 810.28/x
  3. Step 3: Cross multiply
    2,541.70x = 3,812.64 × 810.28
  4. Step 4: Simplify right side
    2,541.70x = 3,089,305.94
  5. Step 5: Solve for x
    x = 3,089,305.94/2,541.70
  6. Step 6: Final answer
    x = 1,215.45

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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.