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Finding the Fourth Proportional to 1,771.82, 2,656.08 and 616.76

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Solution

The fourth proportional to 1,771.82, 2,656.08 and 616.76 is: 924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.82 : 2,656.08 = 616.76 : x
  2. Step 2: Convert to fraction form
    1,771.82/2,656.08 = 616.76/x
  3. Step 3: Cross multiply
    1,771.82x = 2,656.08 × 616.76
  4. Step 4: Simplify right side
    1,771.82x = 1,638,163.90
  5. Step 5: Solve for x
    x = 1,638,163.90/1,771.82
  6. Step 6: Final answer
    x = 924.57

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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.