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Finding the Fourth Proportional to 2,706.42, 3,733.35 and 1,711.32

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Solution

The fourth proportional to 2,706.42, 3,733.35 and 1,711.32 is: 2,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.42 : 3,733.35 = 1,711.32 : x
  2. Step 2: Convert to fraction form
    2,706.42/3,733.35 = 1,711.32/x
  3. Step 3: Cross multiply
    2,706.42x = 3,733.35 × 1,711.32
  4. Step 4: Simplify right side
    2,706.42x = 6,388,956.52
  5. Step 5: Solve for x
    x = 6,388,956.52/2,706.42
  6. Step 6: Final answer
    x = 2,360.67

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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.