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Finding the Fourth Proportional to 2,958.98, 4,430.19 and 1,569.18

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Solution

The fourth proportional to 2,958.98, 4,430.19 and 1,569.18 is: 2,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.98 : 4,430.19 = 1,569.18 : x
  2. Step 2: Convert to fraction form
    2,958.98/4,430.19 = 1,569.18/x
  3. Step 3: Cross multiply
    2,958.98x = 4,430.19 × 1,569.18
  4. Step 4: Simplify right side
    2,958.98x = 6,951,735.55
  5. Step 5: Solve for x
    x = 6,951,735.55/2,958.98
  6. Step 6: Final answer
    x = 2,349.37

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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.