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Finding the Fourth Proportional to 2,482.57, 3,425.72 and 1,420.12

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Solution

The fourth proportional to 2,482.57, 3,425.72 and 1,420.12 is: 1,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.57 : 3,425.72 = 1,420.12 : x
  2. Step 2: Convert to fraction form
    2,482.57/3,425.72 = 1,420.12/x
  3. Step 3: Cross multiply
    2,482.57x = 3,425.72 × 1,420.12
  4. Step 4: Simplify right side
    2,482.57x = 4,864,933.49
  5. Step 5: Solve for x
    x = 4,864,933.49/2,482.57
  6. Step 6: Final answer
    x = 1,959.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.