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Finding the Fourth Proportional to 2,970.30, 4,447.76 and 1,993.44

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Solution

The fourth proportional to 2,970.30, 4,447.76 and 1,993.44 is: 2,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.30 : 4,447.76 = 1,993.44 : x
  2. Step 2: Convert to fraction form
    2,970.30/4,447.76 = 1,993.44/x
  3. Step 3: Cross multiply
    2,970.30x = 4,447.76 × 1,993.44
  4. Step 4: Simplify right side
    2,970.30x = 8,866,332.73
  5. Step 5: Solve for x
    x = 8,866,332.73/2,970.30
  6. Step 6: Final answer
    x = 2,985.00

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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.