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Finding the Fourth Proportional to 2,562.79, 3,537.16 and 1,665.27

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Solution

The fourth proportional to 2,562.79, 3,537.16 and 1,665.27 is: 2,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.79 : 3,537.16 = 1,665.27 : x
  2. Step 2: Convert to fraction form
    2,562.79/3,537.16 = 1,665.27/x
  3. Step 3: Cross multiply
    2,562.79x = 3,537.16 × 1,665.27
  4. Step 4: Simplify right side
    2,562.79x = 5,890,326.43
  5. Step 5: Solve for x
    x = 5,890,326.43/2,562.79
  6. Step 6: Final answer
    x = 2,298.40

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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.