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Finding the Fourth Proportional to 3,105.53, 4,283.74 and 1,970.80

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Solution

The fourth proportional to 3,105.53, 4,283.74 and 1,970.80 is: 2,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.53 : 4,283.74 = 1,970.80 : x
  2. Step 2: Convert to fraction form
    3,105.53/4,283.74 = 1,970.80/x
  3. Step 3: Cross multiply
    3,105.53x = 4,283.74 × 1,970.80
  4. Step 4: Simplify right side
    3,105.53x = 8,442,386.55
  5. Step 5: Solve for x
    x = 8,442,386.55/3,105.53
  6. Step 6: Final answer
    x = 2,718.50

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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.