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Finding the Fourth Proportional to 2,986.76, 4,123.60 and 1,925

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Solution

The fourth proportional to 2,986.76, 4,123.60 and 1,925 is: 2,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.76 : 4,123.60 = 1,925 : x
  2. Step 2: Convert to fraction form
    2,986.76/4,123.60 = 1,925/x
  3. Step 3: Cross multiply
    2,986.76x = 4,123.60 × 1,925
  4. Step 4: Simplify right side
    2,986.76x = 7,937,930.00
  5. Step 5: Solve for x
    x = 7,937,930.00/2,986.76
  6. Step 6: Final answer
    x = 2,657.71

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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.