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Finding the Fourth Proportional to 4,492.40, 6,738.24 and 1,859.22

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Solution

The fourth proportional to 4,492.40, 6,738.24 and 1,859.22 is: 2,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.40 : 6,738.24 = 1,859.22 : x
  2. Step 2: Convert to fraction form
    4,492.40/6,738.24 = 1,859.22/x
  3. Step 3: Cross multiply
    4,492.40x = 6,738.24 × 1,859.22
  4. Step 4: Simplify right side
    4,492.40x = 12,527,870.57
  5. Step 5: Solve for x
    x = 12,527,870.57/4,492.40
  6. Step 6: Final answer
    x = 2,788.68

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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.