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Finding the Fourth Proportional to 2,037.83, 3,057.14 and 942.50

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Solution

The fourth proportional to 2,037.83, 3,057.14 and 942.50 is: 1,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.83 : 3,057.14 = 942.50 : x
  2. Step 2: Convert to fraction form
    2,037.83/3,057.14 = 942.50/x
  3. Step 3: Cross multiply
    2,037.83x = 3,057.14 × 942.50
  4. Step 4: Simplify right side
    2,037.83x = 2,881,364.45
  5. Step 5: Solve for x
    x = 2,881,364.45/2,037.83
  6. Step 6: Final answer
    x = 1,413.94

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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.