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Finding the Fourth Proportional to 2,322.57, 3,203.72 and 1,377.72

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Solution

The fourth proportional to 2,322.57, 3,203.72 and 1,377.72 is: 1,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.57 : 3,203.72 = 1,377.72 : x
  2. Step 2: Convert to fraction form
    2,322.57/3,203.72 = 1,377.72/x
  3. Step 3: Cross multiply
    2,322.57x = 3,203.72 × 1,377.72
  4. Step 4: Simplify right side
    2,322.57x = 4,413,829.12
  5. Step 5: Solve for x
    x = 4,413,829.12/2,322.57
  6. Step 6: Final answer
    x = 1,900.41

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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.