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Finding the Fourth Proportional to 1,664.17, 2,296.91 and 956.12

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Solution

The fourth proportional to 1,664.17, 2,296.91 and 956.12 is: 1,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.17 : 2,296.91 = 956.12 : x
  2. Step 2: Convert to fraction form
    1,664.17/2,296.91 = 956.12/x
  3. Step 3: Cross multiply
    1,664.17x = 2,296.91 × 956.12
  4. Step 4: Simplify right side
    1,664.17x = 2,196,121.59
  5. Step 5: Solve for x
    x = 2,196,121.59/1,664.17
  6. Step 6: Final answer
    x = 1,319.65

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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.