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Finding the Fourth Proportional to 2,900.80, 4,003.07 and 1,574.52

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Solution

The fourth proportional to 2,900.80, 4,003.07 and 1,574.52 is: 2,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.80 : 4,003.07 = 1,574.52 : x
  2. Step 2: Convert to fraction form
    2,900.80/4,003.07 = 1,574.52/x
  3. Step 3: Cross multiply
    2,900.80x = 4,003.07 × 1,574.52
  4. Step 4: Simplify right side
    2,900.80x = 6,302,905.90
  5. Step 5: Solve for x
    x = 6,302,905.90/2,900.80
  6. Step 6: Final answer
    x = 2,172.82

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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.