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Finding the Fourth Proportional to 2,430.90, 3,354.12 and 1,546.38

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Solution

The fourth proportional to 2,430.90, 3,354.12 and 1,546.38 is: 2,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.90 : 3,354.12 = 1,546.38 : x
  2. Step 2: Convert to fraction form
    2,430.90/3,354.12 = 1,546.38/x
  3. Step 3: Cross multiply
    2,430.90x = 3,354.12 × 1,546.38
  4. Step 4: Simplify right side
    2,430.90x = 5,186,744.09
  5. Step 5: Solve for x
    x = 5,186,744.09/2,430.90
  6. Step 6: Final answer
    x = 2,133.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.