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Finding the Fourth Proportional to 2,900.87, 4,003.17 and 1,574.57

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Solution

The fourth proportional to 2,900.87, 4,003.17 and 1,574.57 is: 2,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.87 : 4,003.17 = 1,574.57 : x
  2. Step 2: Convert to fraction form
    2,900.87/4,003.17 = 1,574.57/x
  3. Step 3: Cross multiply
    2,900.87x = 4,003.17 × 1,574.57
  4. Step 4: Simplify right side
    2,900.87x = 6,303,271.39
  5. Step 5: Solve for x
    x = 6,303,271.39/2,900.87
  6. Step 6: Final answer
    x = 2,172.89

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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.