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Finding the Fourth Proportional to 1,771.56, 2,657.40 and 617.40

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Solution

The fourth proportional to 1,771.56, 2,657.40 and 617.40 is: 926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.56 : 2,657.40 = 617.40 : x
  2. Step 2: Convert to fraction form
    1,771.56/2,657.40 = 617.40/x
  3. Step 3: Cross multiply
    1,771.56x = 2,657.40 × 617.40
  4. Step 4: Simplify right side
    1,771.56x = 1,640,678.76
  5. Step 5: Solve for x
    x = 1,640,678.76/1,771.56
  6. Step 6: Final answer
    x = 926.12

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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.