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Finding the Fourth Proportional to 2,407.68, 3,324.96 and 2,056.32

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Solution

The fourth proportional to 2,407.68, 3,324.96 and 2,056.32 is: 2,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.68 : 3,324.96 = 2,056.32 : x
  2. Step 2: Convert to fraction form
    2,407.68/3,324.96 = 2,056.32/x
  3. Step 3: Cross multiply
    2,407.68x = 3,324.96 × 2,056.32
  4. Step 4: Simplify right side
    2,407.68x = 6,837,181.75
  5. Step 5: Solve for x
    x = 6,837,181.75/2,407.68
  6. Step 6: Final answer
    x = 2,839.74

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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.