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Finding the Fourth Proportional to 2,900.78, 4,003.08 and 1,574.48

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Solution

The fourth proportional to 2,900.78, 4,003.08 and 1,574.48 is: 2,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.78 : 4,003.08 = 1,574.48 : x
  2. Step 2: Convert to fraction form
    2,900.78/4,003.08 = 1,574.48/x
  3. Step 3: Cross multiply
    2,900.78x = 4,003.08 × 1,574.48
  4. Step 4: Simplify right side
    2,900.78x = 6,302,771.53
  5. Step 5: Solve for x
    x = 6,302,771.53/2,900.78
  6. Step 6: Final answer
    x = 2,172.79

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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.