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Finding the Fourth Proportional to 2,804.73, 3,870.98 and 2,140.32

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Solution

The fourth proportional to 2,804.73, 3,870.98 and 2,140.32 is: 2,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.73 : 3,870.98 = 2,140.32 : x
  2. Step 2: Convert to fraction form
    2,804.73/3,870.98 = 2,140.32/x
  3. Step 3: Cross multiply
    2,804.73x = 3,870.98 × 2,140.32
  4. Step 4: Simplify right side
    2,804.73x = 8,285,125.21
  5. Step 5: Solve for x
    x = 8,285,125.21/2,804.73
  6. Step 6: Final answer
    x = 2,953.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.