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Finding the Fourth Proportional to 1,676.19, 2,527.15 and 1,563.26

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Solution

The fourth proportional to 1,676.19, 2,527.15 and 1,563.26 is: 2,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.19 : 2,527.15 = 1,563.26 : x
  2. Step 2: Convert to fraction form
    1,676.19/2,527.15 = 1,563.26/x
  3. Step 3: Cross multiply
    1,676.19x = 2,527.15 × 1,563.26
  4. Step 4: Simplify right side
    1,676.19x = 3,950,592.51
  5. Step 5: Solve for x
    x = 3,950,592.51/1,676.19
  6. Step 6: Final answer
    x = 2,356.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.