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Finding the Fourth Proportional to 2,648.37, 3,972.83 and 916.59

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Solution

The fourth proportional to 2,648.37, 3,972.83 and 916.59 is: 1,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.37 : 3,972.83 = 916.59 : x
  2. Step 2: Convert to fraction form
    2,648.37/3,972.83 = 916.59/x
  3. Step 3: Cross multiply
    2,648.37x = 3,972.83 × 916.59
  4. Step 4: Simplify right side
    2,648.37x = 3,641,451.67
  5. Step 5: Solve for x
    x = 3,641,451.67/2,648.37
  6. Step 6: Final answer
    x = 1,374.98

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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.