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Finding the Fourth Proportional to 1,812.64, 2,719.01 and 642.82

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Solution

The fourth proportional to 1,812.64, 2,719.01 and 642.82 is: 964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.64 : 2,719.01 = 642.82 : x
  2. Step 2: Convert to fraction form
    1,812.64/2,719.01 = 642.82/x
  3. Step 3: Cross multiply
    1,812.64x = 2,719.01 × 642.82
  4. Step 4: Simplify right side
    1,812.64x = 1,747,820.41
  5. Step 5: Solve for x
    x = 1,747,820.41/1,812.64
  6. Step 6: Final answer
    x = 964.24

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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.