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Finding the Fourth Proportional to 2,482.64, 3,425.70 and 1,434.50

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Solution

The fourth proportional to 2,482.64, 3,425.70 and 1,434.50 is: 1,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.64 : 3,425.70 = 1,434.50 : x
  2. Step 2: Convert to fraction form
    2,482.64/3,425.70 = 1,434.50/x
  3. Step 3: Cross multiply
    2,482.64x = 3,425.70 × 1,434.50
  4. Step 4: Simplify right side
    2,482.64x = 4,914,166.65
  5. Step 5: Solve for x
    x = 4,914,166.65/2,482.64
  6. Step 6: Final answer
    x = 1,979.41

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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.