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Finding the Fourth Proportional to 1,689.72, 2,548.09 and 1,666.62

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Solution

The fourth proportional to 1,689.72, 2,548.09 and 1,666.62 is: 2,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.72 : 2,548.09 = 1,666.62 : x
  2. Step 2: Convert to fraction form
    1,689.72/2,548.09 = 1,666.62/x
  3. Step 3: Cross multiply
    1,689.72x = 2,548.09 × 1,666.62
  4. Step 4: Simplify right side
    1,689.72x = 4,246,697.76
  5. Step 5: Solve for x
    x = 4,246,697.76/1,689.72
  6. Step 6: Final answer
    x = 2,513.26

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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.