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Finding the Fourth Proportional to 1,664.10, 2,296.37 and 955.46

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Solution

The fourth proportional to 1,664.10, 2,296.37 and 955.46 is: 1,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.10 : 2,296.37 = 955.46 : x
  2. Step 2: Convert to fraction form
    1,664.10/2,296.37 = 955.46/x
  3. Step 3: Cross multiply
    1,664.10x = 2,296.37 × 955.46
  4. Step 4: Simplify right side
    1,664.10x = 2,194,097.81
  5. Step 5: Solve for x
    x = 2,194,097.81/1,664.10
  6. Step 6: Final answer
    x = 1,318.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.