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Finding the Fourth Proportional to 1,492.12, 2,058.06 and 1,120.42

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Solution

The fourth proportional to 1,492.12, 2,058.06 and 1,120.42 is: 1,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.12 : 2,058.06 = 1,120.42 : x
  2. Step 2: Convert to fraction form
    1,492.12/2,058.06 = 1,120.42/x
  3. Step 3: Cross multiply
    1,492.12x = 2,058.06 × 1,120.42
  4. Step 4: Simplify right side
    1,492.12x = 2,305,891.59
  5. Step 5: Solve for x
    x = 2,305,891.59/1,492.12
  6. Step 6: Final answer
    x = 1,545.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.