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Finding the Fourth Proportional to 2,485.35, 3,727.53 and 841.86

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Solution

The fourth proportional to 2,485.35, 3,727.53 and 841.86 is: 1,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.35 : 3,727.53 = 841.86 : x
  2. Step 2: Convert to fraction form
    2,485.35/3,727.53 = 841.86/x
  3. Step 3: Cross multiply
    2,485.35x = 3,727.53 × 841.86
  4. Step 4: Simplify right side
    2,485.35x = 3,138,058.41
  5. Step 5: Solve for x
    x = 3,138,058.41/2,485.35
  6. Step 6: Final answer
    x = 1,262.62

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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.