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Finding the Fourth Proportional to 4,269.81, 6,405.63 and 1,348.35

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Solution

The fourth proportional to 4,269.81, 6,405.63 and 1,348.35 is: 2,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.81 : 6,405.63 = 1,348.35 : x
  2. Step 2: Convert to fraction form
    4,269.81/6,405.63 = 1,348.35/x
  3. Step 3: Cross multiply
    4,269.81x = 6,405.63 × 1,348.35
  4. Step 4: Simplify right side
    4,269.81x = 8,637,009.72
  5. Step 5: Solve for x
    x = 8,637,009.72/4,269.81
  6. Step 6: Final answer
    x = 2,022.81

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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.