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Finding the Fourth Proportional to 2,562.33, 3,835.98 and 1,948.47

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Solution

The fourth proportional to 2,562.33, 3,835.98 and 1,948.47 is: 2,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.33 : 3,835.98 = 1,948.47 : x
  2. Step 2: Convert to fraction form
    2,562.33/3,835.98 = 1,948.47/x
  3. Step 3: Cross multiply
    2,562.33x = 3,835.98 × 1,948.47
  4. Step 4: Simplify right side
    2,562.33x = 7,474,291.95
  5. Step 5: Solve for x
    x = 7,474,291.95/2,562.33
  6. Step 6: Final answer
    x = 2,916.99

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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.