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Finding the Fourth Proportional to 1,981.44, 2,732.88 and 1,719

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Solution

The fourth proportional to 1,981.44, 2,732.88 and 1,719 is: 2,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.44 : 2,732.88 = 1,719 : x
  2. Step 2: Convert to fraction form
    1,981.44/2,732.88 = 1,719/x
  3. Step 3: Cross multiply
    1,981.44x = 2,732.88 × 1,719
  4. Step 4: Simplify right side
    1,981.44x = 4,697,820.72
  5. Step 5: Solve for x
    x = 4,697,820.72/1,981.44
  6. Step 6: Final answer
    x = 2,370.91

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1.5x scale

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.