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Finding the Fourth Proportional to 2,314.88, 3,473.73 and 928.07

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Solution

The fourth proportional to 2,314.88, 3,473.73 and 928.07 is: 1,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.88 : 3,473.73 = 928.07 : x
  2. Step 2: Convert to fraction form
    2,314.88/3,473.73 = 928.07/x
  3. Step 3: Cross multiply
    2,314.88x = 3,473.73 × 928.07
  4. Step 4: Simplify right side
    2,314.88x = 3,223,847.23
  5. Step 5: Solve for x
    x = 3,223,847.23/2,314.88
  6. Step 6: Final answer
    x = 1,392.67

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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.