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Finding the Fourth Proportional to 1,482.41, 2,045.64 and 819.22

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Solution

The fourth proportional to 1,482.41, 2,045.64 and 819.22 is: 1,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.41 : 2,045.64 = 819.22 : x
  2. Step 2: Convert to fraction form
    1,482.41/2,045.64 = 819.22/x
  3. Step 3: Cross multiply
    1,482.41x = 2,045.64 × 819.22
  4. Step 4: Simplify right side
    1,482.41x = 1,675,827.73
  5. Step 5: Solve for x
    x = 1,675,827.73/1,482.41
  6. Step 6: Final answer
    x = 1,130.48

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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.