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Finding the Fourth Proportional to 1,482.57, 2,045.31 and 892.77

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Solution

The fourth proportional to 1,482.57, 2,045.31 and 892.77 is: 1,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.57 : 2,045.31 = 892.77 : x
  2. Step 2: Convert to fraction form
    1,482.57/2,045.31 = 892.77/x
  3. Step 3: Cross multiply
    1,482.57x = 2,045.31 × 892.77
  4. Step 4: Simplify right side
    1,482.57x = 1,825,976.72
  5. Step 5: Solve for x
    x = 1,825,976.72/1,482.57
  6. Step 6: Final answer
    x = 1,231.63

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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.