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Finding the Fourth Proportional to 1,771.60, 2,670.66 and 1,652.66

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Solution

The fourth proportional to 1,771.60, 2,670.66 and 1,652.66 is: 2,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.60 : 2,670.66 = 1,652.66 : x
  2. Step 2: Convert to fraction form
    1,771.60/2,670.66 = 1,652.66/x
  3. Step 3: Cross multiply
    1,771.60x = 2,670.66 × 1,652.66
  4. Step 4: Simplify right side
    1,771.60x = 4,413,692.96
  5. Step 5: Solve for x
    x = 4,413,692.96/1,771.60
  6. Step 6: Final answer
    x = 2,491.36

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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.