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Finding the Fourth Proportional to 2,423.18, 3,632.58 and 962

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Solution

The fourth proportional to 2,423.18, 3,632.58 and 962 is: 1,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.18 : 3,632.58 = 962 : x
  2. Step 2: Convert to fraction form
    2,423.18/3,632.58 = 962/x
  3. Step 3: Cross multiply
    2,423.18x = 3,632.58 × 962
  4. Step 4: Simplify right side
    2,423.18x = 3,494,541.96
  5. Step 5: Solve for x
    x = 3,494,541.96/2,423.18
  6. Step 6: Final answer
    x = 1,442.13

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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.