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Finding the Fourth Proportional to 1,664.08, 2,296.42 and 918.07

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Solution

The fourth proportional to 1,664.08, 2,296.42 and 918.07 is: 1,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.08 : 2,296.42 = 918.07 : x
  2. Step 2: Convert to fraction form
    1,664.08/2,296.42 = 918.07/x
  3. Step 3: Cross multiply
    1,664.08x = 2,296.42 × 918.07
  4. Step 4: Simplify right side
    1,664.08x = 2,108,274.31
  5. Step 5: Solve for x
    x = 2,108,274.31/1,664.08
  6. Step 6: Final answer
    x = 1,266.93

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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.