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Finding the Fourth Proportional to 2,904.13, 4,356.93 and 824.14

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Solution

The fourth proportional to 2,904.13, 4,356.93 and 824.14 is: 1,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.13 : 4,356.93 = 824.14 : x
  2. Step 2: Convert to fraction form
    2,904.13/4,356.93 = 824.14/x
  3. Step 3: Cross multiply
    2,904.13x = 4,356.93 × 824.14
  4. Step 4: Simplify right side
    2,904.13x = 3,590,720.29
  5. Step 5: Solve for x
    x = 3,590,720.29/2,904.13
  6. Step 6: Final answer
    x = 1,236.42

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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.