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Finding the Fourth Proportional to 2,959.50, 4,084.11 and 1,717.74

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Solution

The fourth proportional to 2,959.50, 4,084.11 and 1,717.74 is: 2,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.50 : 4,084.11 = 1,717.74 : x
  2. Step 2: Convert to fraction form
    2,959.50/4,084.11 = 1,717.74/x
  3. Step 3: Cross multiply
    2,959.50x = 4,084.11 × 1,717.74
  4. Step 4: Simplify right side
    2,959.50x = 7,015,439.11
  5. Step 5: Solve for x
    x = 7,015,439.11/2,959.50
  6. Step 6: Final answer
    x = 2,370.48

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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.