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Finding the Fourth Proportional to 4,581, 6,871.50 and 1,845

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Solution

The fourth proportional to 4,581, 6,871.50 and 1,845 is: 2,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581 : 6,871.50 = 1,845 : x
  2. Step 2: Convert to fraction form
    4,581/6,871.50 = 1,845/x
  3. Step 3: Cross multiply
    4,581x = 6,871.50 × 1,845
  4. Step 4: Simplify right side
    4,581x = 12,677,917.50
  5. Step 5: Solve for x
    x = 12,677,917.50/4,581
  6. Step 6: Final answer
    x = 2,767.50

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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.