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Finding the Fourth Proportional to 1,773.12, 2,645.84 and 1,762.92

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Solution

The fourth proportional to 1,773.12, 2,645.84 and 1,762.92 is: 2,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.12 : 2,645.84 = 1,762.92 : x
  2. Step 2: Convert to fraction form
    1,773.12/2,645.84 = 1,762.92/x
  3. Step 3: Cross multiply
    1,773.12x = 2,645.84 × 1,762.92
  4. Step 4: Simplify right side
    1,773.12x = 4,664,404.25
  5. Step 5: Solve for x
    x = 4,664,404.25/1,773.12
  6. Step 6: Final answer
    x = 2,630.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.