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Finding the Fourth Proportional to 1,664.04, 2,296.36 and 918.00

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Solution

The fourth proportional to 1,664.04, 2,296.36 and 918.00 is: 1,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.04 : 2,296.36 = 918.00 : x
  2. Step 2: Convert to fraction form
    1,664.04/2,296.36 = 918.00/x
  3. Step 3: Cross multiply
    1,664.04x = 2,296.36 × 918.00
  4. Step 4: Simplify right side
    1,664.04x = 2,108,057.69
  5. Step 5: Solve for x
    x = 2,108,057.69/1,664.04
  6. Step 6: Final answer
    x = 1,266.83

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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.