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Finding the Fourth Proportional to 1,981.83, 2,971.76 and 665.13

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Solution

The fourth proportional to 1,981.83, 2,971.76 and 665.13 is: 997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.83 : 2,971.76 = 665.13 : x
  2. Step 2: Convert to fraction form
    1,981.83/2,971.76 = 665.13/x
  3. Step 3: Cross multiply
    1,981.83x = 2,971.76 × 665.13
  4. Step 4: Simplify right side
    1,981.83x = 1,976,603.40
  5. Step 5: Solve for x
    x = 1,976,603.40/1,981.83
  6. Step 6: Final answer
    x = 997.36

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1.5x scale

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.