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Finding the Fourth Proportional to 2,887.89, 4,330.79 and 1,406.67

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Solution

The fourth proportional to 2,887.89, 4,330.79 and 1,406.67 is: 2,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.89 : 4,330.79 = 1,406.67 : x
  2. Step 2: Convert to fraction form
    2,887.89/4,330.79 = 1,406.67/x
  3. Step 3: Cross multiply
    2,887.89x = 4,330.79 × 1,406.67
  4. Step 4: Simplify right side
    2,887.89x = 6,091,996.83
  5. Step 5: Solve for x
    x = 6,091,996.83/2,887.89
  6. Step 6: Final answer
    x = 2,109.49

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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.