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Finding the Fourth Proportional to 2,197.80, 3,033 and 1,313.70

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Solution

The fourth proportional to 2,197.80, 3,033 and 1,313.70 is: 1,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.80 : 3,033 = 1,313.70 : x
  2. Step 2: Convert to fraction form
    2,197.80/3,033 = 1,313.70/x
  3. Step 3: Cross multiply
    2,197.80x = 3,033 × 1,313.70
  4. Step 4: Simplify right side
    2,197.80x = 3,984,452.10
  5. Step 5: Solve for x
    x = 3,984,452.10/2,197.80
  6. Step 6: Final answer
    x = 1,812.93

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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.