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Finding the Fourth Proportional to 4,302.80, 6,455.10 and 1,381.40

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Solution

The fourth proportional to 4,302.80, 6,455.10 and 1,381.40 is: 2,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.80 : 6,455.10 = 1,381.40 : x
  2. Step 2: Convert to fraction form
    4,302.80/6,455.10 = 1,381.40/x
  3. Step 3: Cross multiply
    4,302.80x = 6,455.10 × 1,381.40
  4. Step 4: Simplify right side
    4,302.80x = 8,917,075.14
  5. Step 5: Solve for x
    x = 8,917,075.14/4,302.80
  6. Step 6: Final answer
    x = 2,072.39

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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.