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Finding the Fourth Proportional to 2,783.46, 3,838.40 and 1,873.16

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Solution

The fourth proportional to 2,783.46, 3,838.40 and 1,873.16 is: 2,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.46 : 3,838.40 = 1,873.16 : x
  2. Step 2: Convert to fraction form
    2,783.46/3,838.40 = 1,873.16/x
  3. Step 3: Cross multiply
    2,783.46x = 3,838.40 × 1,873.16
  4. Step 4: Simplify right side
    2,783.46x = 7,189,937.34
  5. Step 5: Solve for x
    x = 7,189,937.34/2,783.46
  6. Step 6: Final answer
    x = 2,583.09

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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.