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Finding the Fourth Proportional to 1,980.59, 2,970.27 and 681.75

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Solution

The fourth proportional to 1,980.59, 2,970.27 and 681.75 is: 1,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.59 : 2,970.27 = 681.75 : x
  2. Step 2: Convert to fraction form
    1,980.59/2,970.27 = 681.75/x
  3. Step 3: Cross multiply
    1,980.59x = 2,970.27 × 681.75
  4. Step 4: Simplify right side
    1,980.59x = 2,024,981.57
  5. Step 5: Solve for x
    x = 2,024,981.57/1,980.59
  6. Step 6: Final answer
    x = 1,022.42

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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.