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Finding the Fourth Proportional to 4,302.55, 6,454.19 and 1,803.43

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Solution

The fourth proportional to 4,302.55, 6,454.19 and 1,803.43 is: 2,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.55 : 6,454.19 = 1,803.43 : x
  2. Step 2: Convert to fraction form
    4,302.55/6,454.19 = 1,803.43/x
  3. Step 3: Cross multiply
    4,302.55x = 6,454.19 × 1,803.43
  4. Step 4: Simplify right side
    4,302.55x = 11,639,679.87
  5. Step 5: Solve for x
    x = 11,639,679.87/4,302.55
  6. Step 6: Final answer
    x = 2,705.30

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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.