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Finding the Fourth Proportional to 2,423.62, 3,632.38 and 1,035.32

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Solution

The fourth proportional to 2,423.62, 3,632.38 and 1,035.32 is: 1,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.62 : 3,632.38 = 1,035.32 : x
  2. Step 2: Convert to fraction form
    2,423.62/3,632.38 = 1,035.32/x
  3. Step 3: Cross multiply
    2,423.62x = 3,632.38 × 1,035.32
  4. Step 4: Simplify right side
    2,423.62x = 3,760,654.91
  5. Step 5: Solve for x
    x = 3,760,654.91/2,423.62
  6. Step 6: Final answer
    x = 1,551.67

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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.