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Finding the Fourth Proportional to 1,632.35, 2,449.64 and 902.43

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Solution

The fourth proportional to 1,632.35, 2,449.64 and 902.43 is: 1,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.35 : 2,449.64 = 902.43 : x
  2. Step 2: Convert to fraction form
    1,632.35/2,449.64 = 902.43/x
  3. Step 3: Cross multiply
    1,632.35x = 2,449.64 × 902.43
  4. Step 4: Simplify right side
    1,632.35x = 2,210,624.11
  5. Step 5: Solve for x
    x = 2,210,624.11/1,632.35
  6. Step 6: Final answer
    x = 1,354.26

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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.