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Finding the Fourth Proportional to 1,812.51, 2,719.11 and 772.50

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Solution

The fourth proportional to 1,812.51, 2,719.11 and 772.50 is: 1,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.51 : 2,719.11 = 772.50 : x
  2. Step 2: Convert to fraction form
    1,812.51/2,719.11 = 772.50/x
  3. Step 3: Cross multiply
    1,812.51x = 2,719.11 × 772.50
  4. Step 4: Simplify right side
    1,812.51x = 2,100,512.48
  5. Step 5: Solve for x
    x = 2,100,512.48/1,812.51
  6. Step 6: Final answer
    x = 1,158.90

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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.