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Finding the Fourth Proportional to 1,981.40, 2,971.02 and 1,058

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Solution

The fourth proportional to 1,981.40, 2,971.02 and 1,058 is: 1,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.40 : 2,971.02 = 1,058 : x
  2. Step 2: Convert to fraction form
    1,981.40/2,971.02 = 1,058/x
  3. Step 3: Cross multiply
    1,981.40x = 2,971.02 × 1,058
  4. Step 4: Simplify right side
    1,981.40x = 3,143,339.16
  5. Step 5: Solve for x
    x = 3,143,339.16/1,981.40
  6. Step 6: Final answer
    x = 1,586.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.