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Finding the Fourth Proportional to 1,812.68, 2,717.42 and 642.50

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Solution

The fourth proportional to 1,812.68, 2,717.42 and 642.50 is: 963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.68 : 2,717.42 = 642.50 : x
  2. Step 2: Convert to fraction form
    1,812.68/2,717.42 = 642.50/x
  3. Step 3: Cross multiply
    1,812.68x = 2,717.42 × 642.50
  4. Step 4: Simplify right side
    1,812.68x = 1,745,928.76
  5. Step 5: Solve for x
    x = 1,745,928.76/1,812.68
  6. Step 6: Final answer
    x = 963.18

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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.