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Finding the Fourth Proportional to 1,496.62, 2,058.45 and 1,201.24

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Solution

The fourth proportional to 1,496.62, 2,058.45 and 1,201.24 is: 1,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.62 : 2,058.45 = 1,201.24 : x
  2. Step 2: Convert to fraction form
    1,496.62/2,058.45 = 1,201.24/x
  3. Step 3: Cross multiply
    1,496.62x = 2,058.45 × 1,201.24
  4. Step 4: Simplify right side
    1,496.62x = 2,472,682.19
  5. Step 5: Solve for x
    x = 2,472,682.19/1,496.62
  6. Step 6: Final answer
    x = 1,652.18

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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.