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Finding the Fourth Proportional to 3,124.01, 4,676.67 and 1,887.67

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Solution

The fourth proportional to 3,124.01, 4,676.67 and 1,887.67 is: 2,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.01 : 4,676.67 = 1,887.67 : x
  2. Step 2: Convert to fraction form
    3,124.01/4,676.67 = 1,887.67/x
  3. Step 3: Cross multiply
    3,124.01x = 4,676.67 × 1,887.67
  4. Step 4: Simplify right side
    3,124.01x = 8,828,009.66
  5. Step 5: Solve for x
    x = 8,828,009.66/3,124.01
  6. Step 6: Final answer
    x = 2,825.86

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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.