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Finding the Fourth Proportional to 2,980.44, 4,465.80 and 2,110.50

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Solution

The fourth proportional to 2,980.44, 4,465.80 and 2,110.50 is: 3,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.44 : 4,465.80 = 2,110.50 : x
  2. Step 2: Convert to fraction form
    2,980.44/4,465.80 = 2,110.50/x
  3. Step 3: Cross multiply
    2,980.44x = 4,465.80 × 2,110.50
  4. Step 4: Simplify right side
    2,980.44x = 9,425,070.90
  5. Step 5: Solve for x
    x = 9,425,070.90/2,980.44
  6. Step 6: Final answer
    x = 3,162.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.