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Finding the Fourth Proportional to 1,664.13, 2,296.65 and 1,000.89

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Solution

The fourth proportional to 1,664.13, 2,296.65 and 1,000.89 is: 1,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.13 : 2,296.65 = 1,000.89 : x
  2. Step 2: Convert to fraction form
    1,664.13/2,296.65 = 1,000.89/x
  3. Step 3: Cross multiply
    1,664.13x = 2,296.65 × 1,000.89
  4. Step 4: Simplify right side
    1,664.13x = 2,298,694.02
  5. Step 5: Solve for x
    x = 2,298,694.02/1,664.13
  6. Step 6: Final answer
    x = 1,381.32

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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.