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Finding the Fourth Proportional to 2,904.29, 4,355.56 and 824.47

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Solution

The fourth proportional to 2,904.29, 4,355.56 and 824.47 is: 1,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.29 : 4,355.56 = 824.47 : x
  2. Step 2: Convert to fraction form
    2,904.29/4,355.56 = 824.47/x
  3. Step 3: Cross multiply
    2,904.29x = 4,355.56 × 824.47
  4. Step 4: Simplify right side
    2,904.29x = 3,591,018.69
  5. Step 5: Solve for x
    x = 3,591,018.69/2,904.29
  6. Step 6: Final answer
    x = 1,236.45

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