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Finding the Fourth Proportional to 1,707.42, 2,561.73 and 977.61

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Solution

The fourth proportional to 1,707.42, 2,561.73 and 977.61 is: 1,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.42 : 2,561.73 = 977.61 : x
  2. Step 2: Convert to fraction form
    1,707.42/2,561.73 = 977.61/x
  3. Step 3: Cross multiply
    1,707.42x = 2,561.73 × 977.61
  4. Step 4: Simplify right side
    1,707.42x = 2,504,372.87
  5. Step 5: Solve for x
    x = 2,504,372.87/1,707.42
  6. Step 6: Final answer
    x = 1,466.76

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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.