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Finding the Fourth Proportional to 2,904.75, 4,009.92 and 1,857.42

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Solution

The fourth proportional to 2,904.75, 4,009.92 and 1,857.42 is: 2,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.75 : 4,009.92 = 1,857.42 : x
  2. Step 2: Convert to fraction form
    2,904.75/4,009.92 = 1,857.42/x
  3. Step 3: Cross multiply
    2,904.75x = 4,009.92 × 1,857.42
  4. Step 4: Simplify right side
    2,904.75x = 7,448,105.61
  5. Step 5: Solve for x
    x = 7,448,105.61/2,904.75
  6. Step 6: Final answer
    x = 2,564.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.