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Finding the Fourth Proportional to 1,707.70, 2,561.55 and 1,092.10

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Solution

The fourth proportional to 1,707.70, 2,561.55 and 1,092.10 is: 1,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.70 : 2,561.55 = 1,092.10 : x
  2. Step 2: Convert to fraction form
    1,707.70/2,561.55 = 1,092.10/x
  3. Step 3: Cross multiply
    1,707.70x = 2,561.55 × 1,092.10
  4. Step 4: Simplify right side
    1,707.70x = 2,797,468.76
  5. Step 5: Solve for x
    x = 2,797,468.76/1,707.70
  6. Step 6: Final answer
    x = 1,638.15

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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.