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Finding the Fourth Proportional to 1,642.15, 2,267.46 and 1,012.99

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Solution

The fourth proportional to 1,642.15, 2,267.46 and 1,012.99 is: 1,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.15 : 2,267.46 = 1,012.99 : x
  2. Step 2: Convert to fraction form
    1,642.15/2,267.46 = 1,012.99/x
  3. Step 3: Cross multiply
    1,642.15x = 2,267.46 × 1,012.99
  4. Step 4: Simplify right side
    1,642.15x = 2,296,914.31
  5. Step 5: Solve for x
    x = 2,296,914.31/1,642.15
  6. Step 6: Final answer
    x = 1,398.72

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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.