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Finding the Fourth Proportional to 2,282.51, 3,423.17 and 638.67

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Solution

The fourth proportional to 2,282.51, 3,423.17 and 638.67 is: 957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.51 : 3,423.17 = 638.67 : x
  2. Step 2: Convert to fraction form
    2,282.51/3,423.17 = 638.67/x
  3. Step 3: Cross multiply
    2,282.51x = 3,423.17 × 638.67
  4. Step 4: Simplify right side
    2,282.51x = 2,186,282.46
  5. Step 5: Solve for x
    x = 2,186,282.46/2,282.51
  6. Step 6: Final answer
    x = 957.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.