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Finding the Fourth Proportional to 2,368.28, 3,548.82 and 2,123.48

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Solution

The fourth proportional to 2,368.28, 3,548.82 and 2,123.48 is: 3,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.28 : 3,548.82 = 2,123.48 : x
  2. Step 2: Convert to fraction form
    2,368.28/3,548.82 = 2,123.48/x
  3. Step 3: Cross multiply
    2,368.28x = 3,548.82 × 2,123.48
  4. Step 4: Simplify right side
    2,368.28x = 7,535,848.29
  5. Step 5: Solve for x
    x = 7,535,848.29/2,368.28
  6. Step 6: Final answer
    x = 3,181.99

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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.