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Finding the Fourth Proportional to 1,866.68, 2,800.77 and 942.50

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Solution

The fourth proportional to 1,866.68, 2,800.77 and 942.50 is: 1,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.68 : 2,800.77 = 942.50 : x
  2. Step 2: Convert to fraction form
    1,866.68/2,800.77 = 942.50/x
  3. Step 3: Cross multiply
    1,866.68x = 2,800.77 × 942.50
  4. Step 4: Simplify right side
    1,866.68x = 2,639,725.73
  5. Step 5: Solve for x
    x = 2,639,725.73/1,866.68
  6. Step 6: Final answer
    x = 1,414.13

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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.