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Finding the Fourth Proportional to 2,948.73, 4,069.20 and 1,829.73

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Solution

The fourth proportional to 2,948.73, 4,069.20 and 1,829.73 is: 2,525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.73 : 4,069.20 = 1,829.73 : x
  2. Step 2: Convert to fraction form
    2,948.73/4,069.20 = 1,829.73/x
  3. Step 3: Cross multiply
    2,948.73x = 4,069.20 × 1,829.73
  4. Step 4: Simplify right side
    2,948.73x = 7,445,537.32
  5. Step 5: Solve for x
    x = 7,445,537.32/2,948.73
  6. Step 6: Final answer
    x = 2,525.00

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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.