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Finding the Fourth Proportional to 2,912.96, 4,368.90 and 832.52

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Solution

The fourth proportional to 2,912.96, 4,368.90 and 832.52 is: 1,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.96 : 4,368.90 = 832.52 : x
  2. Step 2: Convert to fraction form
    2,912.96/4,368.90 = 832.52/x
  3. Step 3: Cross multiply
    2,912.96x = 4,368.90 × 832.52
  4. Step 4: Simplify right side
    2,912.96x = 3,637,196.63
  5. Step 5: Solve for x
    x = 3,637,196.63/2,912.96
  6. Step 6: Final answer
    x = 1,248.63

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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.