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Finding the Fourth Proportional to 1,992.64, 2,985.63 and 1,406.68

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Solution

The fourth proportional to 1,992.64, 2,985.63 and 1,406.68 is: 2,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.64 : 2,985.63 = 1,406.68 : x
  2. Step 2: Convert to fraction form
    1,992.64/2,985.63 = 1,406.68/x
  3. Step 3: Cross multiply
    1,992.64x = 2,985.63 × 1,406.68
  4. Step 4: Simplify right side
    1,992.64x = 4,199,835.02
  5. Step 5: Solve for x
    x = 4,199,835.02/1,992.64
  6. Step 6: Final answer
    x = 2,107.67

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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.