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Finding the Fourth Proportional to 2,153.55, 3,213.10 and 1,919.67

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Solution

The fourth proportional to 2,153.55, 3,213.10 and 1,919.67 is: 2,864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.55 : 3,213.10 = 1,919.67 : x
  2. Step 2: Convert to fraction form
    2,153.55/3,213.10 = 1,919.67/x
  3. Step 3: Cross multiply
    2,153.55x = 3,213.10 × 1,919.67
  4. Step 4: Simplify right side
    2,153.55x = 6,168,082.08
  5. Step 5: Solve for x
    x = 6,168,082.08/2,153.55
  6. Step 6: Final answer
    x = 2,864.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.