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Finding the Fourth Proportional to 2,647.98, 3,652.56 and 2,123.10

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Solution

The fourth proportional to 2,647.98, 3,652.56 and 2,123.10 is: 2,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.98 : 3,652.56 = 2,123.10 : x
  2. Step 2: Convert to fraction form
    2,647.98/3,652.56 = 2,123.10/x
  3. Step 3: Cross multiply
    2,647.98x = 3,652.56 × 2,123.10
  4. Step 4: Simplify right side
    2,647.98x = 7,754,750.14
  5. Step 5: Solve for x
    x = 7,754,750.14/2,647.98
  6. Step 6: Final answer
    x = 2,928.55

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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.