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Finding the Fourth Proportional to 1,627.86, 2,442.31 and 1,012.00

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Solution

The fourth proportional to 1,627.86, 2,442.31 and 1,012.00 is: 1,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.86 : 2,442.31 = 1,012.00 : x
  2. Step 2: Convert to fraction form
    1,627.86/2,442.31 = 1,012.00/x
  3. Step 3: Cross multiply
    1,627.86x = 2,442.31 × 1,012.00
  4. Step 4: Simplify right side
    1,627.86x = 2,471,614.49
  5. Step 5: Solve for x
    x = 2,471,614.49/1,627.86
  6. Step 6: Final answer
    x = 1,518.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.