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Finding the Fourth Proportional to 2,175.42, 3,262.05 and 788.70

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Solution

The fourth proportional to 2,175.42, 3,262.05 and 788.70 is: 1,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.42 : 3,262.05 = 788.70 : x
  2. Step 2: Convert to fraction form
    2,175.42/3,262.05 = 788.70/x
  3. Step 3: Cross multiply
    2,175.42x = 3,262.05 × 788.70
  4. Step 4: Simplify right side
    2,175.42x = 2,572,778.84
  5. Step 5: Solve for x
    x = 2,572,778.84/2,175.42
  6. Step 6: Final answer
    x = 1,182.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.