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Finding the Fourth Proportional to 1,607.00, 2,218.15 and 978.09

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Solution

The fourth proportional to 1,607.00, 2,218.15 and 978.09 is: 1,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.00 : 2,218.15 = 978.09 : x
  2. Step 2: Convert to fraction form
    1,607.00/2,218.15 = 978.09/x
  3. Step 3: Cross multiply
    1,607.00x = 2,218.15 × 978.09
  4. Step 4: Simplify right side
    1,607.00x = 2,169,550.33
  5. Step 5: Solve for x
    x = 2,169,550.33/1,607.00
  6. Step 6: Final answer
    x = 1,350.06

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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.