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Finding the Fourth Proportional to 3,262.86, 4,502.74 and 1,770.77

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Solution

The fourth proportional to 3,262.86, 4,502.74 and 1,770.77 is: 2,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.86 : 4,502.74 = 1,770.77 : x
  2. Step 2: Convert to fraction form
    3,262.86/4,502.74 = 1,770.77/x
  3. Step 3: Cross multiply
    3,262.86x = 4,502.74 × 1,770.77
  4. Step 4: Simplify right side
    3,262.86x = 7,973,319.31
  5. Step 5: Solve for x
    x = 7,973,319.31/3,262.86
  6. Step 6: Final answer
    x = 2,443.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.