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Finding the Fourth Proportional to 4,381.48, 6,570.60 and 1,783

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Solution

The fourth proportional to 4,381.48, 6,570.60 and 1,783 is: 2,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.48 : 6,570.60 = 1,783 : x
  2. Step 2: Convert to fraction form
    4,381.48/6,570.60 = 1,783/x
  3. Step 3: Cross multiply
    4,381.48x = 6,570.60 × 1,783
  4. Step 4: Simplify right side
    4,381.48x = 11,715,379.80
  5. Step 5: Solve for x
    x = 11,715,379.80/4,381.48
  6. Step 6: Final answer
    x = 2,673.84

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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.