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Finding the Fourth Proportional to 2,541.48, 3,812.64 and 810

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Solution

The fourth proportional to 2,541.48, 3,812.64 and 810 is: 1,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.48 : 3,812.64 = 810 : x
  2. Step 2: Convert to fraction form
    2,541.48/3,812.64 = 810/x
  3. Step 3: Cross multiply
    2,541.48x = 3,812.64 × 810
  4. Step 4: Simplify right side
    2,541.48x = 3,088,238.40
  5. Step 5: Solve for x
    x = 3,088,238.40/2,541.48
  6. Step 6: Final answer
    x = 1,215.13

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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.