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Finding the Fourth Proportional to 2,323.68, 3,487.44 and 956.64

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Solution

The fourth proportional to 2,323.68, 3,487.44 and 956.64 is: 1,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.68 : 3,487.44 = 956.64 : x
  2. Step 2: Convert to fraction form
    2,323.68/3,487.44 = 956.64/x
  3. Step 3: Cross multiply
    2,323.68x = 3,487.44 × 956.64
  4. Step 4: Simplify right side
    2,323.68x = 3,336,224.60
  5. Step 5: Solve for x
    x = 3,336,224.60/2,323.68
  6. Step 6: Final answer
    x = 1,435.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.