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Finding the Fourth Proportional to 2,100.03, 2,896.56 and 1,783.11

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Solution

The fourth proportional to 2,100.03, 2,896.56 and 1,783.11 is: 2,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.03 : 2,896.56 = 1,783.11 : x
  2. Step 2: Convert to fraction form
    2,100.03/2,896.56 = 1,783.11/x
  3. Step 3: Cross multiply
    2,100.03x = 2,896.56 × 1,783.11
  4. Step 4: Simplify right side
    2,100.03x = 5,164,885.10
  5. Step 5: Solve for x
    x = 5,164,885.10/2,100.03
  6. Step 6: Final answer
    x = 2,459.43

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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.