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Finding the Fourth Proportional to 1,980.04, 2,969.37 and 883.80

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Solution

The fourth proportional to 1,980.04, 2,969.37 and 883.80 is: 1,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.04 : 2,969.37 = 883.80 : x
  2. Step 2: Convert to fraction form
    1,980.04/2,969.37 = 883.80/x
  3. Step 3: Cross multiply
    1,980.04x = 2,969.37 × 883.80
  4. Step 4: Simplify right side
    1,980.04x = 2,624,329.21
  5. Step 5: Solve for x
    x = 2,624,329.21/1,980.04
  6. Step 6: Final answer
    x = 1,325.39

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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.