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Finding the Fourth Proportional to 1,482.65, 2,043.70 and 1,167.41

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Solution

The fourth proportional to 1,482.65, 2,043.70 and 1,167.41 is: 1,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.65 : 2,043.70 = 1,167.41 : x
  2. Step 2: Convert to fraction form
    1,482.65/2,043.70 = 1,167.41/x
  3. Step 3: Cross multiply
    1,482.65x = 2,043.70 × 1,167.41
  4. Step 4: Simplify right side
    1,482.65x = 2,385,829.98
  5. Step 5: Solve for x
    x = 2,385,829.98/1,482.65
  6. Step 6: Final answer
    x = 1,609.17

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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.