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Finding the Fourth Proportional to 1,643.12, 2,267.64 and 1,013.80

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Solution

The fourth proportional to 1,643.12, 2,267.64 and 1,013.80 is: 1,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.12 : 2,267.64 = 1,013.80 : x
  2. Step 2: Convert to fraction form
    1,643.12/2,267.64 = 1,013.80/x
  3. Step 3: Cross multiply
    1,643.12x = 2,267.64 × 1,013.80
  4. Step 4: Simplify right side
    1,643.12x = 2,298,933.43
  5. Step 5: Solve for x
    x = 2,298,933.43/1,643.12
  6. Step 6: Final answer
    x = 1,399.13

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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.