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Finding the Fourth Proportional to 2,912.18, 4,368.54 and 832.28

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Solution

The fourth proportional to 2,912.18, 4,368.54 and 832.28 is: 1,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.18 : 4,368.54 = 832.28 : x
  2. Step 2: Convert to fraction form
    2,912.18/4,368.54 = 832.28/x
  3. Step 3: Cross multiply
    2,912.18x = 4,368.54 × 832.28
  4. Step 4: Simplify right side
    2,912.18x = 3,635,848.47
  5. Step 5: Solve for x
    x = 3,635,848.47/2,912.18
  6. Step 6: Final answer
    x = 1,248.50

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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.