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Finding the Fourth Proportional to 2,980.94, 4,113.71 and 1,654.83

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Solution

The fourth proportional to 2,980.94, 4,113.71 and 1,654.83 is: 2,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.94 : 4,113.71 = 1,654.83 : x
  2. Step 2: Convert to fraction form
    2,980.94/4,113.71 = 1,654.83/x
  3. Step 3: Cross multiply
    2,980.94x = 4,113.71 × 1,654.83
  4. Step 4: Simplify right side
    2,980.94x = 6,807,490.72
  5. Step 5: Solve for x
    x = 6,807,490.72/2,980.94
  6. Step 6: Final answer
    x = 2,283.67

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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.