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Finding the Fourth Proportional to 2,900.80, 4,005.60 and 2,313.92

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Solution

The fourth proportional to 2,900.80, 4,005.60 and 2,313.92 is: 3,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.80 : 4,005.60 = 2,313.92 : x
  2. Step 2: Convert to fraction form
    2,900.80/4,005.60 = 2,313.92/x
  3. Step 3: Cross multiply
    2,900.80x = 4,005.60 × 2,313.92
  4. Step 4: Simplify right side
    2,900.80x = 9,268,637.95
  5. Step 5: Solve for x
    x = 9,268,637.95/2,900.80
  6. Step 6: Final answer
    x = 3,195.20

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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.