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Finding the Fourth Proportional to 2,107.53, 3,145.32 and 2,058.39

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Solution

The fourth proportional to 2,107.53, 3,145.32 and 2,058.39 is: 3,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.53 : 3,145.32 = 2,058.39 : x
  2. Step 2: Convert to fraction form
    2,107.53/3,145.32 = 2,058.39/x
  3. Step 3: Cross multiply
    2,107.53x = 3,145.32 × 2,058.39
  4. Step 4: Simplify right side
    2,107.53x = 6,474,295.23
  5. Step 5: Solve for x
    x = 6,474,295.23/2,107.53
  6. Step 6: Final answer
    x = 3,071.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.