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Finding the Fourth Proportional to 1,798.82, 2,482.30 and 1,012.71

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Solution

The fourth proportional to 1,798.82, 2,482.30 and 1,012.71 is: 1,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.82 : 2,482.30 = 1,012.71 : x
  2. Step 2: Convert to fraction form
    1,798.82/2,482.30 = 1,012.71/x
  3. Step 3: Cross multiply
    1,798.82x = 2,482.30 × 1,012.71
  4. Step 4: Simplify right side
    1,798.82x = 2,513,850.03
  5. Step 5: Solve for x
    x = 2,513,850.03/1,798.82
  6. Step 6: Final answer
    x = 1,397.50

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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.