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Finding the Fourth Proportional to 2,653, 3,977.64 and 1,246.60

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Solution

The fourth proportional to 2,653, 3,977.64 and 1,246.60 is: 1,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653 : 3,977.64 = 1,246.60 : x
  2. Step 2: Convert to fraction form
    2,653/3,977.64 = 1,246.60/x
  3. Step 3: Cross multiply
    2,653x = 3,977.64 × 1,246.60
  4. Step 4: Simplify right side
    2,653x = 4,958,526.02
  5. Step 5: Solve for x
    x = 4,958,526.02/2,653
  6. Step 6: Final answer
    x = 1,869.03

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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.