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Finding the Fourth Proportional to 2,154.66, 3,233.16 and 856.14

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Solution

The fourth proportional to 2,154.66, 3,233.16 and 856.14 is: 1,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.66 : 3,233.16 = 856.14 : x
  2. Step 2: Convert to fraction form
    2,154.66/3,233.16 = 856.14/x
  3. Step 3: Cross multiply
    2,154.66x = 3,233.16 × 856.14
  4. Step 4: Simplify right side
    2,154.66x = 2,768,037.60
  5. Step 5: Solve for x
    x = 2,768,037.60/2,154.66
  6. Step 6: Final answer
    x = 1,284.67

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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.